Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bi |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-9782083584 = -1 · 214 · 38 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 6 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1461,-22509] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/597051 |
j-invariant |
L |
3.0835184548403 |
L(r)(E,1)/r! |
Ω |
0.38543980685504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472bu1 1092c1 52416cv1 122304r1 |
Quadratic twists by: -4 8 -3 -7 |