Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29200l |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4672000000000 = 215 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -3 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6008,-148012] |
[a1,a2,a3,a4,a6] |
j |
374805361/73000 |
j-invariant |
L |
4.3969519853104 |
L(r)(E,1)/r! |
Ω |
0.5496189981638 |
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 |
3650b1 116800bw1 5840l1 |
Quadratic twists by: -4 8 5 |