Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545t |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
122624788473705 = 3 · 5 · 74 · 237 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12443,-40087] |
[a1,a2,a3,a4,a6] |
j |
1439069689/828345 |
j-invariant |
L |
4.4272571089818 |
L(r)(E,1)/r! |
Ω |
0.4919174565747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415e1 |
Quadratic twists by: -23 |