Atkin-Lehner |
2- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694v |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
16059914309390336 = 212 · 79 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-809089,-280389761] |
[a1,a2,a3,a4,a6] |
j |
497879673215404033/136507019264 |
j-invariant |
L |
11.461464637176 |
L(r)(E,1)/r! |
Ω |
0.15918700921284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242i1 |
Quadratic twists by: -7 |