Atkin-Lehner |
2- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488bb |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-10499299213312 = -1 · 224 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
2- -2 4 7- 4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7456,290292] |
[a1,a2,a3,a4,a6] |
j |
-11192824869409/2563305472 |
j-invariant |
L |
2.7569323947579 |
L(r)(E,1)/r! |
Ω |
0.68923309868818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4186a1 |
Quadratic twists by: -4 |