Atkin-Lehner |
2+ 3+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130j |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1.7105206882624E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9625652,-11481361584] |
[a1,a2,a3,a4,a6] |
j |
98631185198275712884889161/171052068826235289600 |
j-invariant |
L |
2.0573041012744 |
L(r)(E,1)/r! |
Ω |
0.085721004220391 |
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 |
114390bj1 |
Quadratic twists by: -3 |