Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cl |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
11071248642793152 = 26 · 39 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- -6 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188420,-31023385] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:763:1] |
Generators of the group modulo torsion |
j |
4734057625/70848 |
j-invariant |
L |
9.786077008483 |
L(r)(E,1)/r! |
Ω |
0.22935684254489 |
Real period |
R |
3.5556227918268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766p1 89298m1 |
Quadratic twists by: -3 -11 |