Atkin-Lehner |
5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12395a |
Isogeny class |
Conductor |
12395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
103808125 = 54 · 37 · 672 |
Discriminant |
Eigenvalues |
2 3 5+ -3 1 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1063,-13331] |
[a1,a2,a3,a4,a6] |
Generators |
[-4026:467:216] |
Generators of the group modulo torsion |
j |
132838360141824/103808125 |
j-invariant |
L |
12.967136475691 |
L(r)(E,1)/r! |
Ω |
0.83615465464286 |
Real period |
R |
3.8770149767418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111555r1 61975a1 |
Quadratic twists by: -3 5 |