Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390z |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
142044696640 = 26 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308,-1249] |
[a1,a2,a3,a4,a6] |
j |
6128487/3520 |
j-invariant |
L |
2.5875912786552 |
L(r)(E,1)/r! |
Ω |
0.8625304262184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43120bc1 48510bj1 26950t1 5390bh1 |
Quadratic twists by: -4 -3 5 -7 |