Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456g |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-17805312 = -1 · 212 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 5 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,-357] |
[a1,a2,a3,a4,a6] |
j |
-12487168/4347 |
j-invariant |
L |
4.7465446294045 |
L(r)(E,1)/r! |
Ω |
0.79109077156742 |
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 |
15456a1 30912bt1 46368bp1 108192m1 |
Quadratic twists by: -4 8 -3 -7 |