Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248o |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4723632785664 = 28 · 310 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6951,-197030] |
[a1,a2,a3,a4,a6] |
Generators |
[6287:498456:1] |
Generators of the group modulo torsion |
j |
199020624208/25310961 |
j-invariant |
L |
5.3581613959815 |
L(r)(E,1)/r! |
Ω |
0.52723746970002 |
Real period |
R |
5.0813548959573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80496u2 13416i2 |
Quadratic twists by: -4 -3 |