Atkin-Lehner |
2+ 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650g |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-55677375000 = -1 · 23 · 36 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1450,23500] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:35:1] [1:148:1] |
Generators of the group modulo torsion |
j |
-21601086625/3563352 |
j-invariant |
L |
7.3564074675588 |
L(r)(E,1)/r! |
Ω |
1.0763776902047 |
Real period |
R |
1.7086027364775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666n1 |
Quadratic twists by: 5 |