Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302m |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9300096 |
Modular degree for the optimal curve |
Δ |
1.6962235127357E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10162086,-12307736908] |
[a1,a2,a3,a4,a6] |
Generators |
[-434299743424647598492869065380980:-1546525974067860703170104270959814:255987401455055322323212591125] |
Generators of the group modulo torsion |
j |
556020585567/8126464 |
j-invariant |
L |
7.6819808739245 |
L(r)(E,1)/r! |
Ω |
0.084632711007797 |
Real period |
R |
45.384230224095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94302bt1 94302bs1 |
Quadratic twists by: -3 13 |