Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920by |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
41464120320 = 210 · 37 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,754] |
[a1,a2,a3,a4,a6] |
Generators |
[65:468:1] |
Generators of the group modulo torsion |
j |
96550276/55545 |
j-invariant |
L |
8.6330813514722 |
L(r)(E,1)/r! |
Ω |
0.97662259845393 |
Real period |
R |
2.209932830255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bu1 38640u1 |
Quadratic twists by: -4 -3 |