Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120be |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
21887153340416000 = 238 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128012,16127984] |
[a1,a2,a3,a4,a6] |
j |
884984855328729/83492864000 |
j-invariant |
L |
2.2293079252313 |
L(r)(E,1)/r! |
Ω |
0.37155132087187 |
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 |
29120cf1 910a1 |
Quadratic twists by: -4 8 |