Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cp |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
432688799712559104 = 214 · 36 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4983304,4280000756] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:84630:1] [-290:75504:1] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
11.420193004558 |
L(r)(E,1)/r! |
Ω |
0.27773033975185 |
Real period |
R |
3.4266430928389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9438e2 6864w2 |
Quadratic twists by: -4 -11 |