Cremona's table of elliptic curves

11858 = 2 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	11858bp	Isogeny class
Conductor	11858	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	2280960	Modular degree for the optimal curve
Δ	-2.6258822813749E+22	Discriminant
Eigenvalues	2- -3 -2 7- 11-  5  8 -3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6232491,9832639611]	[a1,a2,a3,a4,a6]
j	-8773917273/8605184	j-invariant
L	1.9507071936956	L(r)(E,1)/r!
Ω	0.10837262187198	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	94864df1 106722dj1 1694j1 11858t1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858bp1

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
-	-3	-2	-	-	5	8	-3	1	8	8	-2	-2	2	4	12	15	10	0	-8	4	3	3	-6	-16

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Quadratic twists for elliptic curve 11858bp1

-4	-3	-7	-11
94864df1	106722dj1	1694j1	11858t1

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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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