Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020b |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-1.4588532331815E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27591408,56085771357] |
[a1,a2,a3,a4,a6] |
j |
-62200479744/390625 |
j-invariant |
L |
0.25116017113168 |
L(r)(E,1)/r! |
Ω |
0.12558008560457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52020i1 52020h1 |
Quadratic twists by: -3 17 |