Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290s |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4475520 |
Modular degree for the optimal curve |
Δ |
1726156018608906250 = 2 · 57 · 737 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 -5 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13003759,18052071515] |
[a1,a2,a3,a4,a6] |
j |
1606916486137689/11406250 |
j-invariant |
L |
3.3238589808595 |
L(r)(E,1)/r! |
Ω |
0.23741849855575 |
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 |
730c1 |
Quadratic twists by: 73 |