Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600fn |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-27671044800000000 = -1 · 212 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114333,16934037] |
[a1,a2,a3,a4,a6] |
Generators |
[523:9996:1] |
Generators of the group modulo torsion |
j |
-17920/3 |
j-invariant |
L |
5.866337677518 |
L(r)(E,1)/r! |
Ω |
0.36065988981242 |
Real period |
R |
2.7109278934285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999071277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600dn1 117600ch1 117600hv1 |
Quadratic twists by: -4 5 -7 |