Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275g |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3796018515625 = -1 · 57 · 77 · 59 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-93750] |
[a1,a2,a3,a4,a6] |
j |
-1/2065 |
j-invariant |
L |
2.8790579984591 |
L(r)(E,1)/r! |
Ω |
0.35988224887553 |
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 |
14455d1 10325d1 |
Quadratic twists by: 5 -7 |