Atkin-Lehner |
5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12325i |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
308125 = 54 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 1 5- 0 -1 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238,-1433] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
2386099825/493 |
j-invariant |
L |
3.0042135493207 |
L(r)(E,1)/r! |
Ω |
1.2154894576196 |
Real period |
R |
0.82386935580782 |
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 |
110925bs1 12325b1 |
Quadratic twists by: -3 5 |