Atkin-Lehner |
3- 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595h |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
34184942325 = 312 · 52 · 31 · 83 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -2 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1460,19064] |
[a1,a2,a3,a4,a6] |
Generators |
[31:67:1] [-32:184:1] |
Generators of the group modulo torsion |
j |
344413136244736/34184942325 |
j-invariant |
L |
5.6491289028478 |
L(r)(E,1)/r! |
Ω |
1.1304779468844 |
Real period |
R |
0.20821314701511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115785j1 |
Quadratic twists by: -3 |