Cremona's table of elliptic curves

Curve 10304o2

10304 = 26 · 7 · 23



Data for elliptic curve 10304o2

Field Data Notes
Atkin-Lehner 2+ 7- 23- Signs for the Atkin-Lehner involutions
Class 10304o Isogeny class
Conductor 10304 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 13590069248 = 219 · 72 · 232 Discriminant
Eigenvalues 2+ -2  2 7- -6  4 -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-897,-8993] [a1,a2,a3,a4,a6]
Generators [-21:32:1] Generators of the group modulo torsion
j 304821217/51842 j-invariant
L 3.3980189663333 L(r)(E,1)/r!
Ω 0.88240102111867 Real period
R 0.96271958129238 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 10304s2 322c2 92736cf2 72128t2 Quadratic twists by: -4 8 -3 -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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