Atkin-Lehner |
5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52325p |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-2162494140625 = -1 · 59 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 6 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2230,-80978] |
[a1,a2,a3,a4,a6] |
j |
-78457720041/138399625 |
j-invariant |
L |
1.9675147460299 |
L(r)(E,1)/r! |
Ω |
0.32791912453827 |
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 |
10465d1 |
Quadratic twists by: 5 |