Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112q |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1136185110315008 = 214 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 2 2 2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41712,2863808] |
[a1,a2,a3,a4,a6] |
j |
81182737/11492 |
j-invariant |
L |
7.5106671765384 |
L(r)(E,1)/r! |
Ω |
0.46941669872898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514g1 3536g1 |
Quadratic twists by: -4 17 |