Atkin-Lehner |
2- 3+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688m |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
1.5371702328241E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1605208,-506351120] |
[a1,a2,a3,a4,a6] |
j |
111675519439697265625/37528570137307392 |
j-invariant |
L |
1.6531493587192 |
L(r)(E,1)/r! |
Ω |
0.13776247781318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586h1 |
Quadratic twists by: -4 |