Atkin-Lehner |
2+ 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130m |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2838626999977500 = -1 · 22 · 312 · 54 · 31 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,32361,1247686] |
[a1,a2,a3,a4,a6] |
j |
3748079585913702551/2838626999977500 |
j-invariant |
L |
1.1587941421952 |
L(r)(E,1)/r! |
Ω |
0.28969853555288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114390bv1 |
Quadratic twists by: -3 |