Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850i |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
8315156250 = 2 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-942,10466] |
[a1,a2,a3,a4,a6] |
j |
8120601/730 |
j-invariant |
L |
2.5506335027846 |
L(r)(E,1)/r! |
Ω |
1.2753167513929 |
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 |
3650m1 6570v1 |
Quadratic twists by: -3 5 |