Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bs |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
411048574189568 = 222 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58604,5372752] |
[a1,a2,a3,a4,a6] |
Generators |
[4956:348488:1] |
Generators of the group modulo torsion |
j |
721734273/13328 |
j-invariant |
L |
6.2500001407987 |
L(r)(E,1)/r! |
Ω |
0.53220484862019 |
Real period |
R |
5.8717993240798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312n1 13328p1 7616i1 |
Quadratic twists by: -4 8 -7 |