Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939h |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-26457672087 = -1 · 310 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11+ -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653,10284] |
[a1,a2,a3,a4,a6] |
j |
-42180533641/36293103 |
j-invariant |
L |
2.1755445105208 |
L(r)(E,1)/r! |
Ω |
1.0877722552604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5313b1 111573bf1 |
Quadratic twists by: -3 -7 |