Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275bg |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6361086842578125 = -1 · 38 · 58 · 72 · 373 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137930,-20052178] |
[a1,a2,a3,a4,a6] |
j |
-1019082645625/22337973 |
j-invariant |
L |
1.4844752291141 |
L(r)(E,1)/r! |
Ω |
0.12370626903701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425z1 58275h1 |
Quadratic twists by: -3 5 |