Atkin-Lehner |
2- 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31992l |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60160 |
Modular degree for the optimal curve |
Δ |
221128704 = 211 · 34 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -1 -7 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12432,-537696] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:3:8] |
Generators of the group modulo torsion |
j |
103765192794146/107973 |
j-invariant |
L |
5.1816629846338 |
L(r)(E,1)/r! |
Ω |
0.45212801757895 |
Real period |
R |
2.8651525581074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984h1 95976d1 |
Quadratic twists by: -4 -3 |