Atkin-Lehner |
2- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318v |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-92001518 = -1 · 2 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 7- -2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15,-465] |
[a1,a2,a3,a4,a6] |
j |
3375/782 |
j-invariant |
L |
0.89664601269334 |
L(r)(E,1)/r! |
Ω |
0.89664601273477 |
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 |
782d1 |
Quadratic twists by: -7 |