Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bp |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
837760 |
Modular degree for the optimal curve |
Δ |
-1261629893044224 = -1 · 211 · 38 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13091,1806819] |
[a1,a2,a3,a4,a6] |
j |
-192100033/976896 |
j-invariant |
L |
9.2373605168169 |
L(r)(E,1)/r! |
Ω |
0.41988004952868 |
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 |
38478b1 954c1 |
Quadratic twists by: -3 -11 |