Atkin-Lehner |
5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225j |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
591301953125 = 58 · 134 · 53 |
Discriminant |
Eigenvalues |
0 0 5- 1 -5 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-114500,14912656] |
[a1,a2,a3,a4,a6] |
Generators |
[100:2112:1] |
Generators of the group modulo torsion |
j |
424991395676160/1513733 |
j-invariant |
L |
3.3334396745495 |
L(r)(E,1)/r! |
Ω |
0.8035352818247 |
Real period |
R |
0.34570559106625 |
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 |
17225b1 |
Quadratic twists by: 5 |