Cremona's table of elliptic curves

Curve 80063a1

80063 = 23 · 592



Data for elliptic curve 80063a1

Field Data Notes
Atkin-Lehner 23- 59- Signs for the Atkin-Lehner involutions
Class 80063a Isogeny class
Conductor 80063 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 389760 Modular degree for the optimal curve
Δ -1316496635469251 = -1 · 232 · 597 Discriminant
Eigenvalues  1  1 -3  1  0 -4 -2  7 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-181085,29696167] [a1,a2,a3,a4,a6]
Generators [-359:7141:1] Generators of the group modulo torsion
j -15568817473/31211 j-invariant
L 5.2975041649859 L(r)(E,1)/r!
Ω 0.48325978223328 Real period
R 1.3702526985917 Regulator
r 1 Rank of the group of rational points
S 0.99999999984486 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 1357a1 Quadratic twists by: -59


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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