Atkin-Lehner |
2- 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792bf |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-2964061456995188736 = -1 · 221 · 39 · 195 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 1 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1038497,416022081] |
[a1,a2,a3,a4,a6] |
j |
-472497970270424617/11306997135144 |
j-invariant |
L |
0.50664724226451 |
L(r)(E,1)/r! |
Ω |
0.25332373934439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792x1 26448t1 |
Quadratic twists by: -4 8 |