Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850g |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-163667220468750 = -1 · 2 · 315 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,-618134] |
[a1,a2,a3,a4,a6] |
j |
-273359449/14368590 |
j-invariant |
L |
2.015703068624 |
L(r)(E,1)/r! |
Ω |
0.25196288357781 |
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 |
10950r1 6570bb1 |
Quadratic twists by: -3 5 |