Atkin-Lehner |
2+ 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710u |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4773600 |
Modular degree for the optimal curve |
Δ |
-1.258764255065E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-505322,557011884] |
[a1,a2,a3,a4,a6] |
j |
-2045682844201/18044839800 |
j-invariant |
L |
1.5874281787926 |
L(r)(E,1)/r! |
Ω |
0.15874286157432 |
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 |
112710be1 |
Quadratic twists by: 17 |