Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bk |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
2614696945691830272 = 211 · 33 · 73 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771147,248766310] |
[a1,a2,a3,a4,a6] |
j |
6652854/343 |
j-invariant |
L |
0.50587976341649 |
L(r)(E,1)/r! |
Ω |
0.25293989096697 |
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 |
85176e1 85176j1 |
Quadratic twists by: -3 13 |