Cremona's table of elliptic curves

4851 = 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	4851f	Isogeny class
Conductor	4851	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	280197917307 = 39 · 76 · 112	Discriminant
Eigenvalues	1 3+ -4 7- 11-  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-7359,243494]	[a1,a2,a3,a4,a6]
Generators	[-82:580:1]	Generators of the group modulo torsion
j	19034163/121	j-invariant
L	3.488010977087	L(r)(E,1)/r!
Ω	0.9816428982373	Real period
R	1.7766190655229	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	77616do2 4851d2 121275bg2 99c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4851f2

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

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Quadratic twists for elliptic curve 4851f2

-4	-3	5	-7	-11
77616do2	4851d2	121275bg2	99c2	53361n2

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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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