Atkin-Lehner |
2+ 3- 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418g |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-103619657592 = -1 · 23 · 311 · 11 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 5 11+ -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,495,14773] |
[a1,a2,a3,a4,a6] |
j |
18378843119/142139448 |
j-invariant |
L |
3.0950139072959 |
L(r)(E,1)/r! |
Ω |
0.773753482242 |
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 |
25806j1 |
Quadratic twists by: -3 |