Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360m |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
18081163287072000 = 28 · 34 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111361,-12719939] |
[a1,a2,a3,a4,a6] |
j |
85525504/10125 |
j-invariant |
L |
1.5802047322986 |
L(r)(E,1)/r! |
Ω |
0.26336745467617 |
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 |
34680v1 69360bo1 |
Quadratic twists by: -4 17 |