Atkin-Lehner |
2+ 3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430d |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
34386177600000000 = 212 · 32 · 58 · 23 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89748,5206608] |
[a1,a2,a3,a4,a6] |
j |
79947633139117526089/34386177600000000 |
j-invariant |
L |
0.66341325136898 |
L(r)(E,1)/r! |
Ω |
0.33170662568418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bo1 |
Quadratic twists by: -3 |