Atkin-Lehner |
3- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56637d |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
4587597 = 36 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
0 3- -2 7+ -3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1326,-18585] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:0:1] |
Generators of the group modulo torsion |
j |
353693237248/6293 |
j-invariant |
L |
1.6918932001927 |
L(r)(E,1)/r! |
Ω |
0.79115966389321 |
Real period |
R |
1.0692488997003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293c1 |
Quadratic twists by: -3 |