Atkin-Lehner |
2+ 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650c |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11145024900000000 = 28 · 36 · 58 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61625,2953125] |
[a1,a2,a3,a4,a6] |
j |
1656477321590161/713281593600 |
j-invariant |
L |
1.4572658487903 |
L(r)(E,1)/r! |
Ω |
0.36431646297108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730s2 |
Quadratic twists by: 5 |