Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005v |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1281879741843225 = 37 · 52 · 710 · 83 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4633368,3838393633] |
[a1,a2,a3,a4,a6] |
j |
93503038071221809129/10895798025 |
j-invariant |
L |
5.2443834215332 |
L(r)(E,1)/r! |
Ω |
0.37459881584882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715c1 |
Quadratic twists by: -7 |