Atkin-Lehner |
2- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125504i |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
297193472 = 212 · 372 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,1015] |
[a1,a2,a3,a4,a6] |
Generators |
[1:28:1] |
Generators of the group modulo torsion |
j |
343000000/72557 |
j-invariant |
L |
3.2892700518463 |
L(r)(E,1)/r! |
Ω |
1.6331966948139 |
Real period |
R |
2.0140073158066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998794261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125504h2 62752a1 |
Quadratic twists by: -4 8 |