Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730ca |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
8945664 |
Modular degree for the optimal curve |
Δ |
5.2414844430186E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12894106,17472018983] |
[a1,a2,a3,a4,a6] |
j |
5875097286343434967/129888870727680 |
j-invariant |
L |
3.5332938216286 |
L(r)(E,1)/r! |
Ω |
0.13589591651634 |
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 |
86730cr1 |
Quadratic twists by: -7 |