Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58604l |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-90616083376 = -1 · 24 · 77 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1111,2234] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2967:1] |
Generators of the group modulo torsion |
j |
80494592/48139 |
j-invariant |
L |
6.6366980287201 |
L(r)(E,1)/r! |
Ω |
0.65617622916228 |
Real period |
R |
3.3714002091157 |
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 |
8372b1 |
Quadratic twists by: -7 |