Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680h |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-3305767485440 = -1 · 214 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3659,21139] |
[a1,a2,a3,a4,a6] |
j |
8192/5 |
j-invariant |
L |
0.97891521272723 |
L(r)(E,1)/r! |
Ω |
0.48945760636362 |
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 |
15680ch1 980e1 78400bl1 15680bp1 |
Quadratic twists by: -4 8 5 -7 |