Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700p |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
363042000 = 24 · 37 · 53 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3720,87325] |
[a1,a2,a3,a4,a6] |
j |
3904765952/249 |
j-invariant |
L |
3.2239235355685 |
L(r)(E,1)/r! |
Ω |
1.611961771282 |
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 |
24900r1 74700v1 |
Quadratic twists by: -3 5 |