Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850l |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-387951930000000 = -1 · 27 · 312 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120942,-16186284] |
[a1,a2,a3,a4,a6] |
j |
-17175508997401/34058880 |
j-invariant |
L |
0.51195700305546 |
L(r)(E,1)/r! |
Ω |
0.12798925076352 |
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 |
10950bb1 6570w1 |
Quadratic twists by: -3 5 |