Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800v |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-2109929924044800 = -1 · 211 · 39 · 52 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3112,-2207952] |
[a1,a2,a3,a4,a6] |
j |
65077813630/41209568829 |
j-invariant |
L |
1.9512028513086 |
L(r)(E,1)/r! |
Ω |
0.21680031426719 |
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 |
85800cj1 |
Quadratic twists by: 5 |