Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fe |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-91745244864 = -1 · 26 · 38 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1122,1766] |
[a1,a2,a3,a4,a6] |
j |
3348071936/1966419 |
j-invariant |
L |
1.3006233106413 |
L(r)(E,1)/r! |
Ω |
0.6503116551774 |
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 |
52416gl1 26208g1 17472bt1 |
Quadratic twists by: -4 8 -3 |