Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290ce |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-9648975656250 = -1 · 2 · 312 · 56 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1552,147197] |
[a1,a2,a3,a4,a6] |
Generators |
[-2508:11347:64] |
Generators of the group modulo torsion |
j |
567457901639/13235906250 |
j-invariant |
L |
8.0477381570893 |
L(r)(E,1)/r! |
Ω |
0.54486140318757 |
Real period |
R |
3.6925620488097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430q1 |
Quadratic twists by: -3 |