Atkin-Lehner |
5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12325c |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
38515625 = 57 · 17 · 29 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1275,17000] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1195:8] |
Generators of the group modulo torsion |
j |
14688124849/2465 |
j-invariant |
L |
7.6048762531775 |
L(r)(E,1)/r! |
Ω |
1.983504826114 |
Real period |
R |
3.8340598687006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bk1 2465a1 |
Quadratic twists by: -3 5 |