Atkin-Lehner |
2- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296f |
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] |
Generators |
[-6:24:1] [1:3:1] |
Generators of the group modulo torsion |
j |
151732224/81733 |
j-invariant |
L |
5.7761345459267 |
L(r)(E,1)/r! |
Ω |
1.677413277987 |
Real period |
R |
3.4434772982407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111296c1 27824c1 |
Quadratic twists by: -4 8 |