Atkin-Lehner |
2- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298v |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1438231730432 = 28 · 76 · 17 · 532 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13868,624784] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1022:1] [26:518:1] |
Generators of the group modulo torsion |
j |
2507141976625/12224768 |
j-invariant |
L |
11.6585340938 |
L(r)(E,1)/r! |
Ω |
0.85641249545797 |
Real period |
R |
1.7016528477965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1802c1 |
Quadratic twists by: -7 |