Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290h |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1009152 |
Modular degree for the optimal curve |
Δ |
-80646009189408100 = -1 · 22 · 52 · 738 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-786139,268567386] |
[a1,a2,a3,a4,a6] |
Generators |
[821:12882:1] |
Generators of the group modulo torsion |
j |
-66625129/100 |
j-invariant |
L |
2.7813447005801 |
L(r)(E,1)/r! |
Ω |
0.34217796452661 |
Real period |
R |
6.0962678538819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53290p1 |
Quadratic twists by: 73 |