Cremona's table of elliptic curves

3927 = 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	3+ 7- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	3927c	Isogeny class
Conductor	3927	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-8588349 = -1 · 38 · 7 · 11 · 17	Discriminant
Eigenvalues	-1 3+ -1 7- 11+  1 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-781,-8728]	[a1,a2,a3,a4,a6]
Generators	[50:258:1]	Generators of the group modulo torsion
j	-52687982361169/8588349	j-invariant
L	1.8068624447329	L(r)(E,1)/r!
Ω	0.45154356481187	Real period
R	2.0007620366439	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	62832bo1 11781g1 98175s1 27489p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3927c1

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	+	-1	-	+	1	-	0	-3	3	-6	-4	-4	9	12	-1	-9	12	4	-1	14	10	-6	-10	2

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Quadratic twists for elliptic curve 3927c1

-4	-3	5	-7	-11	17
62832bo1	11781g1	98175s1	27489p1	43197b1	66759f1

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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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