Atkin-Lehner |
2- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360r |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
9265188167200000 = 28 · 55 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 6 7 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124852,16336404] |
[a1,a2,a3,a4,a6] |
j |
2976390144/128125 |
j-invariant |
L |
4.0611959242271 |
L(r)(E,1)/r! |
Ω |
0.40611959398901 |
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 |
80360k1 |
Quadratic twists by: -7 |