Atkin-Lehner |
2+ 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610h |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1738905775578000 = 24 · 314 · 53 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4261464,-3384929552] |
[a1,a2,a3,a4,a6] |
Generators |
[2652:61604:1] |
Generators of the group modulo torsion |
j |
11740124784822581536129/2385330282000 |
j-invariant |
L |
4.0904939029778 |
L(r)(E,1)/r! |
Ω |
0.10507752847425 |
Real period |
R |
6.4880569017281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870s1 |
Quadratic twists by: -3 |