Cremona's table of elliptic curves

4902 = 2 · 3 · 19 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 43-	Signs for the Atkin-Lehner involutions
Class	4902j	Isogeny class
Conductor	4902	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-8009868 = -1 · 22 · 3 · 192 · 432	Discriminant
Eigenvalues	2- 3+  0  0  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,47,-37]	[a1,a2,a3,a4,a6]
Generators	[3:10:1]	Generators of the group modulo torsion
j	11466731375/8009868	j-invariant
L	4.7775321823379	L(r)(E,1)/r!
Ω	1.3184854258044	Real period
R	1.8117500917476	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	39216z2 14706f2 122550q2 93138s2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4902j2

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

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Quadratic twists for elliptic curve 4902j2

-4	-3	5	-19
39216z2	14706f2	122550q2	93138s2

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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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