Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275p |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-13557208984375 = -1 · 59 · 76 · 59 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5487,85406] |
[a1,a2,a3,a4,a6] |
Generators |
[-511302:2702581:35937] |
Generators of the group modulo torsion |
j |
79507/59 |
j-invariant |
L |
5.1217417470535 |
L(r)(E,1)/r! |
Ω |
0.45102178659441 |
Real period |
R |
11.355863282241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72275o1 1475b1 |
Quadratic twists by: 5 -7 |