Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9790m |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
26922500000000 = 28 · 510 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18107038,29660980781] |
[a1,a2,a3,a4,a6] |
j |
656547162459736668851166129/26922500000000 |
j-invariant |
L |
2.872444576893 |
L(r)(E,1)/r! |
Ω |
0.35905557211163 |
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 |
78320x1 88110ba1 48950k1 107690f1 |
Quadratic twists by: -4 -3 5 -11 |