Cremona's table of elliptic curves

19074 = 2 · 3 · 11 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 17-	Signs for the Atkin-Lehner involutions
Class	19074bj	Isogeny class
Conductor	19074	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	274176	Modular degree for the optimal curve
Δ	-893451301940321388 = -1 · 22 · 37 · 114 · 178	Discriminant
Eigenvalues	2- 3-  0 -1 11- -5 17-  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,165302,-37389616]	[a1,a2,a3,a4,a6]
Generators	[2336:113276:1]	Generators of the group modulo torsion
j	71608817375/128079468	j-invariant
L	8.8360260036999	L(r)(E,1)/r!
Ω	0.14698237169917	Real period
R	0.35783469997895	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	57222n1 19074l1	Quadratic twists by: -3 17

Hecke Eigenvalues for elliptic curve 19074bj1

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	-1	-	-5	-	1	-6	4	1	-3	4	11	10	0	-6	9	-3	-4	-14	-16	2	-16	9

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Quadratic twists for elliptic curve 19074bj1

-3	17
57222n1	19074l1

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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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