Cremona's table of elliptic curves

Curve 828b2

828 = 22 · 32 · 23



Data for elliptic curve 828b2

Field Data Notes
Atkin-Lehner 2- 3+ 23- Signs for the Atkin-Lehner involutions
Class 828b Isogeny class
Conductor 828 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ 2665550592 = 28 · 39 · 232 Discriminant
Eigenvalues 2- 3+ -2  2 -4 -2 -2 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-351,486] [a1,a2,a3,a4,a6]
Generators [-9:54:1] Generators of the group modulo torsion
j 949104/529 j-invariant
L 2.179270849647 L(r)(E,1)/r!
Ω 1.2458224987613 Real period
R 0.58308757248426 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 3312j2 13248b2 828a2 20700b2 Quadratic twists by: -4 8 -3 5


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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