Atkin-Lehner |
2+ 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74562j |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-199279769664 = -1 · 26 · 3 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 -1 -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,716,-20110] |
[a1,a2,a3,a4,a6] |
j |
1685159/8256 |
j-invariant |
L |
2.022926239093 |
L(r)(E,1)/r! |
Ω |
0.50573157121004 |
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 |
258a1 |
Quadratic twists by: 17 |