Atkin-Lehner |
3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575c |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1337780390625 = 33 · 57 · 73 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44592688,114596982656] |
[a1,a2,a3,a4,a6] |
j |
627616918987717566874681/85617945 |
j-invariant |
L |
0.67934923147294 |
L(r)(E,1)/r! |
Ω |
0.3396746157365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67725p1 4515h1 |
Quadratic twists by: -3 5 |