Atkin-Lehner |
7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15827c |
Isogeny class |
Conductor |
15827 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
4705351637021 = 79 · 17 · 193 |
Discriminant |
Eigenvalues |
2 0 -1 7- -6 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11123,439297] |
[a1,a2,a3,a4,a6] |
j |
1293603803136/39994829 |
j-invariant |
L |
1.5360528294285 |
L(r)(E,1)/r! |
Ω |
0.76802641471426 |
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 |
2261c1 |
Quadratic twists by: -7 |