Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103880u |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-891,-10466] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:8:1] [39:125:1] |
Generators of the group modulo torsion |
j |
99891398656/828125 |
j-invariant |
L |
7.7486449408569 |
L(r)(E,1)/r! |
Ω |
0.87419171247741 |
Real period |
R |
2.2159455498033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880x1 |
Quadratic twists by: -7 |