Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bh |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
110316344482800 = 24 · 34 · 52 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37306,-2730052] |
[a1,a2,a3,a4,a6] |
Generators |
[481:-9763:1] |
Generators of the group modulo torsion |
j |
1551443665/29808 |
j-invariant |
L |
7.4041241019691 |
L(r)(E,1)/r! |
Ω |
0.34392451083379 |
Real period |
R |
0.67276065225956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350cw1 3450k1 |
Quadratic twists by: 5 -23 |