Cremona's table of elliptic curves

4950 = 2 · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	4950be	Isogeny class
Conductor	4950	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	778082768100000000 = 28 · 312 · 58 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11+ -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-230630,-3973003]	[a1,a2,a3,a4,a6]
Generators	[-321:6235:1]	Generators of the group modulo torsion
j	119102750067601/68309049600	j-invariant
L	5.4473661900531	L(r)(E,1)/r!
Ω	0.23645555786041	Real period
R	1.4398493736371	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	39600dt2 1650h2 990c2 54450bp2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950be2

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	2	-4	0	10	0	-6	-2	-4	-8	-10	4	-2	4	8	-2	-8	-12	6	-18

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Quadratic twists for elliptic curve 4950be2

-4	-3	5	-11
39600dt2	1650h2	990c2	54450bp2

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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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