Cremona's table of elliptic curves

3914 = 2 · 19 · 103

Field	Data	Notes
Atkin-Lehner	2+ 19- 103-	Signs for the Atkin-Lehner involutions
Class	3914c	Isogeny class
Conductor	3914	Conductor
∏ cp	70	Product of Tamagawa factors cp
deg	105280	Modular degree for the optimal curve
Δ	1.6579877324354E+20	Discriminant
Eigenvalues	2+  1  0 -1  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5026601,4292815516]	[a1,a2,a3,a4,a6]
Generators	[55821:1385030:27]	Generators of the group modulo torsion
j	14045811244682967594015625/165798773243544993232	j-invariant
L	3.0778470436724	L(r)(E,1)/r!
Ω	0.18207718788435	Real period
R	0.241486833095	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31312l1 125248i1 35226e1 97850o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3914c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	1	0	-1	4	0	-2	-	3	-6	1	-3	0	-2	0	-3	-6	5	15	-1	-2	10	-11	-7	-10

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Quadratic twists for elliptic curve 3914c1

-4	8	-3	5	-19
31312l1	125248i1	35226e1	97850o1	74366i1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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