Atkin-Lehner |
2- 3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570bb |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1230478466703120 = 24 · 318 · 5 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28472,-748501] |
[a1,a2,a3,a4,a6] |
j |
3501352281813049/1687899131280 |
j-invariant |
L |
3.0850908159892 |
L(r)(E,1)/r! |
Ω |
0.38563637702553 |
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 |
32190i1 |
Quadratic twists by: -3 |