Cremona's table of elliptic curves

304 = 2⁴ · 19

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Class	304b	Isogeny class
Conductor	304	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-14384365568 = -1 · 221 · 193	Discriminant
Eigenvalues	2- -1  0  1  6  5  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,152,-5776]	[a1,a2,a3,a4,a6]
j	94196375/3511808	j-invariant
L	1.2026277579624	L(r)(E,1)/r!
Ω	0.6013138789812	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	38a1 1216o2 2736m2 7600l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 304b2

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	6	5	3	+	-3	9	4	2	0	-8	0	-3	-9	-10	-5	6	-7	10	6	-12	-10

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Quadratic twists for elliptic curve 304b2

-4	8	-3	5	-7	-11	13	17	-19
38a1	1216o2	2736m2	7600l2	14896bd2	36784bh2	51376v2	87856g2	5776l2

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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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