Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15048i |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-8424953856 = -1 · 211 · 39 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,934] |
[a1,a2,a3,a4,a6] |
j |
9314926/5643 |
j-invariant |
L |
1.6066126757738 |
L(r)(E,1)/r! |
Ω |
0.80330633788689 |
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 |
30096g1 120384bd1 5016d1 |
Quadratic twists by: -4 8 -3 |