Cremona's table of elliptic curves

Curve 28420i1

28420 = 22 · 5 · 72 · 29



Data for elliptic curve 28420i1

Field Data Notes
Atkin-Lehner 2- 5- 7- 29- Signs for the Atkin-Lehner involutions
Class 28420i Isogeny class
Conductor 28420 Conductor
∏ cp 24 Product of Tamagawa factors cp
deg 276480 Modular degree for the optimal curve
Δ 2755715539144400 = 24 · 52 · 710 · 293 Discriminant
Eigenvalues 2-  0 5- 7- -2 -6 -8  6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-394352,-95284371] [a1,a2,a3,a4,a6]
Generators [8603:795760:1] Generators of the group modulo torsion
j 3603027962363904/1463949725 j-invariant
L 4.6932356801212 L(r)(E,1)/r!
Ω 0.19051936835274 Real period
R 4.1056505354282 Regulator
r 1 Rank of the group of rational points
S 0.99999999999999 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 113680bs1 4060b1 Quadratic twists by: -4 -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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