Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640z |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7224196377600 = -1 · 210 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14501,-689301] |
[a1,a2,a3,a4,a6] |
Generators |
[319:5220:1] |
Generators of the group modulo torsion |
j |
-329342336352256/7054879275 |
j-invariant |
L |
7.8552772166978 |
L(r)(E,1)/r! |
Ω |
0.21725351361477 |
Real period |
R |
2.5826566412024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640bn1 3540c1 |
Quadratic twists by: -4 8 |