Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208i |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
114048000 |
Modular degree for the optimal curve |
Δ |
1.7186197667488E+25 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11539304457,477105059934523] |
[a1,a2,a3,a4,a6] |
Generators |
[61679:146510:1] |
Generators of the group modulo torsion |
j |
5642017163771722268092767232/570626054098424597 |
j-invariant |
L |
4.963886202878 |
L(r)(E,1)/r! |
Ω |
0.053355213818986 |
Real period |
R |
3.876445770327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744f1 |
Quadratic twists by: -7 |