Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800eo |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2269890393750000 = -1 · 24 · 32 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10208,2322963] |
[a1,a2,a3,a4,a6] |
j |
-160000/3087 |
j-invariant |
L |
1.552758270474 |
L(r)(E,1)/r! |
Ω |
0.38818956842604 |
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 |
29400bb1 58800bb1 8400p1 |
Quadratic twists by: -4 5 -7 |