Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63240g |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-54639360 = -1 · 28 · 34 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30996,-2090124] |
[a1,a2,a3,a4,a6] |
Generators |
[31005:291024:125] |
Generators of the group modulo torsion |
j |
-12865145868122704/213435 |
j-invariant |
L |
5.7399231655963 |
L(r)(E,1)/r! |
Ω |
0.17990447983332 |
Real period |
R |
7.9763482966326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480k1 |
Quadratic twists by: -4 |