Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1484b |
Isogeny class |
Conductor |
1484 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10920 |
Modular degree for the optimal curve |
Δ |
575133165775952 = 24 · 714 · 53 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274532,55353265] |
[a1,a2,a3,a4,a6] |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
0.75666917534002 |
L(r)(E,1)/r! |
Ω |
0.50444611689335 |
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 |
5936o1 23744g1 13356e1 37100g1 |
Quadratic twists by: -4 8 -3 5 |