Atkin-Lehner |
2+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38950h |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-878809375000 = -1 · 23 · 58 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,475,45125] |
[a1,a2,a3,a4,a6] |
j |
756058031/56243800 |
j-invariant |
L |
4.0681478426815 |
L(r)(E,1)/r! |
Ω |
0.67802464046103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790d1 |
Quadratic twists by: 5 |