Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675w |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
25800 |
Modular degree for the optimal curve |
Δ |
-165465315675 = -1 · 35 · 52 · 11 · 195 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1352,4594] |
[a1,a2,a3,a4,a6] |
j |
10924272250880/6618612627 |
j-invariant |
L |
0.62680613282687 |
L(r)(E,1)/r! |
Ω |
0.62680613282687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
47025y1 15675r2 |
Quadratic twists by: -3 5 |