Atkin-Lehner |
5+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925i |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-128233856201171875 = -1 · 515 · 7 · 114 · 41 |
Discriminant |
Eigenvalues |
2 2 5+ 7- 11- 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3585758,2614734793] |
[a1,a2,a3,a4,a6] |
j |
-326322286440989372416/8206966796875 |
j-invariant |
L |
9.7773885532645 |
L(r)(E,1)/r! |
Ω |
0.30554339179175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785d1 |
Quadratic twists by: 5 |