Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58604l |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5736392060672 = 28 · 78 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4524,22520] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:294:1] |
Generators of the group modulo torsion |
j |
340062928/190463 |
j-invariant |
L |
6.6366980287201 |
L(r)(E,1)/r! |
Ω |
0.65617622916228 |
Real period |
R |
1.6857001045578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8372b2 |
Quadratic twists by: -7 |