Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31772d |
Isogeny class |
Conductor |
31772 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5973136 = 24 · 132 · 472 |
Discriminant |
Eigenvalues |
2- -1 2 3 3 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82,-235] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
22826752/2209 |
j-invariant |
L |
5.8775374944417 |
L(r)(E,1)/r! |
Ω |
1.5947688885052 |
Real period |
R |
1.8427552533806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127088f1 31772b1 |
Quadratic twists by: -4 13 |