Atkin-Lehner |
2- 3+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5934i |
Isogeny class |
Conductor |
5934 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-31746235392 = -1 · 210 · 36 · 23 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,598,-6217] |
[a1,a2,a3,a4,a6] |
Generators |
[11:37:1] |
Generators of the group modulo torsion |
j |
23647316984927/31746235392 |
j-invariant |
L |
5.7748052584243 |
L(r)(E,1)/r! |
Ω |
0.62382152600502 |
Real period |
R |
0.92571432977095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47472k1 17802d1 |
Quadratic twists by: -4 -3 |