Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ch |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
1.3215616581228E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4769004,3606865072] |
[a1,a2,a3,a4,a6] |
j |
62768149033310713/6915442583808 |
j-invariant |
L |
3.5470555472529 |
L(r)(E,1)/r! |
Ω |
0.14779400182206 |
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 |
107712dv1 3366o1 35904bb1 |
Quadratic twists by: -4 8 -3 |