Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5800l |
Isogeny class |
Conductor |
5800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25440 |
Modular degree for the optimal curve |
Δ |
-23200000000 = -1 · 211 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -6 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118208,15682412] |
[a1,a2,a3,a4,a6] |
Generators |
[217:450:1] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
5.0522510016053 |
L(r)(E,1)/r! |
Ω |
0.93377219207685 |
Real period |
R |
1.8035273287119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11600k1 46400bk1 52200bg1 5800b1 |
Quadratic twists by: -4 8 -3 5 |