Atkin-Lehner |
2- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150n |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
177120 |
Modular degree for the optimal curve |
Δ |
1505433500000 = 25 · 56 · 29 · 473 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7238,226531] |
[a1,a2,a3,a4,a6] |
j |
2683880485273/96347744 |
j-invariant |
L |
4.2136675830308 |
L(r)(E,1)/r! |
Ω |
0.84273351901504 |
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 |
2726c1 |
Quadratic twists by: 5 |