Atkin-Lehner |
2+ 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290h |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.579338649498E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164011950,-536641766564] |
[a1,a2,a3,a4,a6] |
Generators |
[909588:-3936883:64] |
Generators of the group modulo torsion |
j |
669302830571784171140671201/216644533538818359375000 |
j-invariant |
L |
3.7389034528567 |
L(r)(E,1)/r! |
Ω |
0.043272232690357 |
Real period |
R |
10.800527331802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430w2 |
Quadratic twists by: -3 |