Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80360k |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
78752800000 = 28 · 55 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 6 -7 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2548,-47628] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:42:1] |
Generators of the group modulo torsion |
j |
2976390144/128125 |
j-invariant |
L |
5.4610323864755 |
L(r)(E,1)/r! |
Ω |
0.6737569957951 |
Real period |
R |
1.3508907080294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80360r1 |
Quadratic twists by: -7 |