Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17825c |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
552575 = 52 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5+ 1 3 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243,-1478] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
63491300185/22103 |
j-invariant |
L |
2.3288662531834 |
L(r)(E,1)/r! |
Ω |
1.2091989227517 |
Real period |
R |
0.96297896457092 |
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 |
17825h1 |
Quadratic twists by: 5 |