Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80360q |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
254976 |
Modular degree for the optimal curve |
Δ |
-1772001002240 = -1 · 28 · 5 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -3 5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2548,80948] |
[a1,a2,a3,a4,a6] |
j |
-60742656/58835 |
j-invariant |
L |
6.1060074847936 |
L(r)(E,1)/r! |
Ω |
0.76325093257575 |
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 |
11480g1 |
Quadratic twists by: -7 |