Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400bc |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
243562842250000 = 24 · 56 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54308,4795013] |
[a1,a2,a3,a4,a6] |
Generators |
[122:13:1] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
6.5640101243033 |
L(r)(E,1)/r! |
Ω |
0.55714580759111 |
Real period |
R |
2.9453735858422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999142857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096b1 127400bl1 |
Quadratic twists by: 5 -7 |