Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610c |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21165127415021250 = 2 · 312 · 54 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1196145,503778771] |
[a1,a2,a3,a4,a6] |
Generators |
[-723:31830:1] |
Generators of the group modulo torsion |
j |
259625816701911663121/29033096591250 |
j-invariant |
L |
5.4286545933117 |
L(r)(E,1)/r! |
Ω |
0.36776106023234 |
Real period |
R |
1.8451704041859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870x3 |
Quadratic twists by: -3 |