Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825bv |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1853473596515625 = 3 · 56 · 78 · 193 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-528001,-147701977] |
[a1,a2,a3,a4,a6] |
j |
8855610342769/1008273 |
j-invariant |
L |
4.2506483299864 |
L(r)(E,1)/r! |
Ω |
0.17711034702757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793d1 9975d1 |
Quadratic twists by: 5 -7 |