Atkin-Lehner |
2- 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846x |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
191009664 = 27 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -4 3 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1139,15059] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-2:1] [3:106:1] |
Generators of the group modulo torsion |
j |
223980311017/262016 |
j-invariant |
L |
10.81557636267 |
L(r)(E,1)/r! |
Ω |
1.7866091436908 |
Real period |
R |
0.43240636682633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094c1 |
Quadratic twists by: -3 |