Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400p |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
154654063460000000 = 28 · 57 · 13 · 296 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211908,-32501312] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:1682:1] |
Generators of the group modulo torsion |
j |
263092112457424/38663515865 |
j-invariant |
L |
2.9783564120995 |
L(r)(E,1)/r! |
Ω |
0.22470260459142 |
Real period |
R |
0.55227746053472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080c2 |
Quadratic twists by: 5 |