Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58400j |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1861632 |
Modular degree for the optimal curve |
Δ |
1140625000000 = 26 · 512 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38020825,90236121000] |
[a1,a2,a3,a4,a6] |
j |
6078386628250875999936/1140625 |
j-invariant |
L |
1.4016064219248 |
L(r)(E,1)/r! |
Ω |
0.35040160475674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58400i1 116800bo2 11680a1 |
Quadratic twists by: -4 8 5 |