Cremona's table of elliptic curves

Curve 76538o1

76538 = 2 · 72 · 11 · 71



Data for elliptic curve 76538o1

Field Data Notes
Atkin-Lehner 2+ 7- 11+ 71- Signs for the Atkin-Lehner involutions
Class 76538o Isogeny class
Conductor 76538 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 62208 Modular degree for the optimal curve
Δ 8488217276 = 22 · 72 · 112 · 713 Discriminant
Eigenvalues 2+  2  3 7- 11+  4  0  4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-711,-6103] [a1,a2,a3,a4,a6]
Generators [113:1115:1] Generators of the group modulo torsion
j 812999904073/173228924 j-invariant
L 9.15328907933 L(r)(E,1)/r!
Ω 0.93832990780559 Real period
R 0.81290608289548 Regulator
r 1 Rank of the group of rational points
S 1.0000000001655 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 76538f1 Quadratic twists by: -7


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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