Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bd |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
417916608346090 = 2 · 5 · 72 · 318 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2510793,1531941887] |
[a1,a2,a3,a4,a6] |
j |
1972359673792929/470890 |
j-invariant |
L |
3.383303922882 |
L(r)(E,1)/r! |
Ω |
0.4229129897412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170m2 |
Quadratic twists by: -31 |