Cremona's table of elliptic curves

11850 = 2 · 3 · 5² · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 79-	Signs for the Atkin-Lehner involutions
Class	11850bd	Isogeny class
Conductor	11850	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	20736	Modular degree for the optimal curve
Δ	-613515264000 = -1 · 218 · 3 · 53 · 792	Discriminant
Eigenvalues	2- 3- 5-  2 -6  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1097,-34903]	[a1,a2,a3,a4,a6]
Generators	[58:445:1]	Generators of the group modulo torsion
j	1167908551291/4908122112	j-invariant
L	8.3171162790154	L(r)(E,1)/r!
Ω	0.46283318469861	Real period
R	0.99833380746399	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	94800ca1 35550w1 11850i1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11850bd1

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
-	-	-	2	-6	2	-6	0	-4	-4	0	-2	2	4	4	-14	-10	14	8	-12	-4	-	-4	6	-16

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Quadratic twists for elliptic curve 11850bd1

-4	-3	5
94800ca1	35550w1	11850i1

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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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