Atkin-Lehner |
5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28475g |
Isogeny class |
Conductor |
28475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7563671875 = -1 · 58 · 172 · 67 |
Discriminant |
Eigenvalues |
2 0 5- -2 -2 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,-4219] |
[a1,a2,a3,a4,a6] |
j |
-552960/19363 |
j-invariant |
L |
1.150229432788 |
L(r)(E,1)/r! |
Ω |
0.57511471639493 |
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 |
28475d1 |
Quadratic twists by: 5 |