Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300y |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-190571421093750000 = -1 · 24 · 315 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38325,-21200875] |
[a1,a2,a3,a4,a6] |
j |
-34158804736/1045659375 |
j-invariant |
L |
3.3277623129786 |
L(r)(E,1)/r! |
Ω |
0.13865676304078 |
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 |
61200gh1 5100e1 3060h1 |
Quadratic twists by: -4 -3 5 |