Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
73810l |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-133897131427840 = -1 · 211 · 5 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8896,-647327] |
[a1,a2,a3,a4,a6] |
j |
-43949604889/75581440 |
j-invariant |
L |
5.1091155174834 |
L(r)(E,1)/r! |
Ω |
0.23223252207839 |
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 |
6710b1 |
Quadratic twists by: -11 |