Cremona's table of elliptic curves

19110 = 2 · 3 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	19110i	Isogeny class
Conductor	19110	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	1337700 = 22 · 3 · 52 · 73 · 13	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-137,561]	[a1,a2,a3,a4,a6]
Generators	[-8:39:1]	Generators of the group modulo torsion
j	838561807/3900	j-invariant
L	3.5911944039875	L(r)(E,1)/r!
Ω	2.7243975926638	Real period
R	0.65908045390617	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	57330dt1 95550jw1 19110z1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110i1

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
+	+	-	-	0	+	6	4	0	-4	8	4	0	-4	-2	-4	-12	-10	-6	-16	-14	-8	16	-8	-6

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Quadratic twists for elliptic curve 19110i1

-3	5	-7
57330dt1	95550jw1	19110z1

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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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