Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376k |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54148346185054208 = 211 · 319 |
Discriminant |
Eigenvalues |
2+ 2 2 4 6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1261152,545434592] |
[a1,a2,a3,a4,a6] |
j |
4096766 |
j-invariant |
L |
6.2141108228488 |
L(r)(E,1)/r! |
Ω |
0.34522837904715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7688o2 61504cd2 15376o2 |
Quadratic twists by: -4 8 -31 |