Atkin-Lehner |
2+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111296c |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50304 |
Modular degree for the optimal curve |
Δ |
83694592 = 210 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 0 -4 4 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,-120] |
[a1,a2,a3,a4,a6] |
j |
151732224/81733 |
j-invariant |
L |
1.5626717204967 |
L(r)(E,1)/r! |
Ω |
1.562671523012 |
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 |
111296f1 6956b1 |
Quadratic twists by: -4 8 |