Atkin-Lehner |
2+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73810c |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984000 |
Modular degree for the optimal curve |
Δ |
3803895779200000000 = 213 · 58 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 11- 1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-193967964,1039767813786] |
[a1,a2,a3,a4,a6] |
j |
455572624814874647288209/2147200000000 |
j-invariant |
L |
1.3433701806658 |
L(r)(E,1)/r! |
Ω |
0.16792126643057 |
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 |
6710g1 |
Quadratic twists by: -11 |