Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850by |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-898036875000 = -1 · 23 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 6 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21380,-1198753] |
[a1,a2,a3,a4,a6] |
j |
-94881210481/78840 |
j-invariant |
L |
4.737604708415 |
L(r)(E,1)/r! |
Ω |
0.19740019618425 |
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 |
10950n1 6570e1 |
Quadratic twists by: -3 5 |