Atkin-Lehner |
2+ 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720p |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-1038960 = -1 · 24 · 33 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,-207] |
[a1,a2,a3,a4,a6] |
j |
-1518013696/64935 |
j-invariant |
L |
5.1262034500557 |
L(r)(E,1)/r! |
Ω |
0.85436724158334 |
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 |
115440n1 |
Quadratic twists by: -4 |