Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760l |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-518826440704000 = -1 · 214 · 53 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22341,-1696541] |
[a1,a2,a3,a4,a6] |
Generators |
[462:9317:1] |
Generators of the group modulo torsion |
j |
-75271580947456/31666652875 |
j-invariant |
L |
2.9539870916636 |
L(r)(E,1)/r! |
Ω |
0.19131457385975 |
Real period |
R |
2.2057815431254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bg1 5720g1 |
Quadratic twists by: -4 8 |