Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712eq |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
496188987604992 = 216 · 39 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432876,-109615664] |
[a1,a2,a3,a4,a6] |
j |
187761599684068/10385793 |
j-invariant |
L |
2.2335278543924 |
L(r)(E,1)/r! |
Ω |
0.18612731786636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bb1 26928i1 35904cn1 |
Quadratic twists by: -4 8 -3 |