Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850bu |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
15518077200000000 = 210 · 312 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73355,-4730853] |
[a1,a2,a3,a4,a6] |
j |
3832302404449/1362355200 |
j-invariant |
L |
5.972420676447 |
L(r)(E,1)/r! |
Ω |
0.29862103382246 |
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 |
10950f1 6570i1 |
Quadratic twists by: -3 5 |