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	11858p	Isogeny class
Conductor	11858	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	17793073276286 = 2 · 73 · 1110	Discriminant
Eigenvalues	2+  2  2 7- 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6899,-89305]	[a1,a2,a3,a4,a6]
Generators	[-610:515:8]	Generators of the group modulo torsion
j	59776471/29282	j-invariant
L	5.5461443418351	L(r)(E,1)/r!
Ω	0.55053180399307	Real period
R	5.0370789676529	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	94864da2 106722hf2 11858r2 1078l2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858p2

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

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Quadratic twists for elliptic curve 11858p2

-4	-3	-7	-11
94864da2	106722hf2	11858r2	1078l2

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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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