Atkin-Lehner |
3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775l |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
68480 |
Modular degree for the optimal curve |
Δ |
18228515625 = 32 · 59 · 17 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2576,49673] |
[a1,a2,a3,a4,a6] |
j |
967361669/9333 |
j-invariant |
L |
4.9269759576514 |
L(r)(E,1)/r! |
Ω |
1.2317440081783 |
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 |
77775d1 |
Quadratic twists by: 5 |