Atkin-Lehner |
3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15609f |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9520 |
Modular degree for the optimal curve |
Δ |
-6170346963 = -1 · 34 · 116 · 43 |
Discriminant |
Eigenvalues |
0 3+ -2 2 11- -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2339,-42934] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1318:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
2.710024024189 |
L(r)(E,1)/r! |
Ω |
0.34314942742792 |
Real period |
R |
3.9487520706388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827p1 129a1 |
Quadratic twists by: -3 -11 |