Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056k |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
28033164288 = 210 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1179,13338] |
[a1,a2,a3,a4,a6] |
j |
242793828/37553 |
j-invariant |
L |
4.5310684834274 |
L(r)(E,1)/r! |
Ω |
1.1327674075091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57528f1 12784a1 |
Quadratic twists by: -4 -3 |