Atkin-Lehner |
3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225o |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1438359375 = -1 · 3 · 57 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,1823] |
[a1,a2,a3,a4,a6] |
j |
-117649/92055 |
j-invariant |
L |
4.8976995316081 |
L(r)(E,1)/r! |
Ω |
1.224424882902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675ba1 4845c1 |
Quadratic twists by: -3 5 |