Atkin-Lehner |
2- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808t |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-7223876608 = -1 · 210 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 2 -4 -2 0 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,455,1521] |
[a1,a2,a3,a4,a6] |
Generators |
[0:39:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
4.5944472411465 |
L(r)(E,1)/r! |
Ω |
0.83728882822258 |
Real period |
R |
1.0974581497521 |
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 |
15808n1 3952h1 |
Quadratic twists by: -4 8 |