Atkin-Lehner |
3+ 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675o |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4924523292609375 = 312 · 56 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51538,2958656] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/315169490727 |
j-invariant |
L |
1.5962139638117 |
L(r)(E,1)/r! |
Ω |
0.39905367463294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187d4 |
Quadratic twists by: 5 |