Atkin-Lehner |
2+ 3- 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870m |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4096000 |
Modular degree for the optimal curve |
Δ |
-1.3486324177564E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1120086,322207348] |
[a1,a2,a3,a4,a6] |
j |
213181774406989752671/184997588169600000 |
j-invariant |
L |
2.3990495445464 |
L(r)(E,1)/r! |
Ω |
0.11995246607041 |
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 |
40290t1 |
Quadratic twists by: -3 |