Cremona's table of elliptic curves

Curve 11858x2

11858 = 2 · 72 · 112



Data for elliptic curve 11858x2

Field Data Notes
Atkin-Lehner 2- 7+ 11- Signs for the Atkin-Lehner involutions
Class 11858x Isogeny class
Conductor 11858 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ 45291459248728 = 23 · 74 · 119 Discriminant
Eigenvalues 2-  1  0 7+ 11-  1  6 -2 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-32733,2253593] [a1,a2,a3,a4,a6]
Generators [-188:1425:1] Generators of the group modulo torsion
j 911871625/10648 j-invariant
L 8.0319229402155 L(r)(E,1)/r!
Ω 0.64156736237145 Real period
R 1.0432683314977 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 94864bg2 106722bo2 11858bh2 1078a2 Quadratic twists by: -4 -3 -7 -11


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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