Atkin-Lehner |
2- 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31892b |
Isogeny class |
Conductor |
31892 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5664 |
Modular degree for the optimal curve |
Δ |
2041088 = 28 · 7 · 17 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -5 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-633] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] [26:119:1] |
Generators of the group modulo torsion |
j |
1024000000/7973 |
j-invariant |
L |
5.8236468912824 |
L(r)(E,1)/r! |
Ω |
1.4056227138569 |
Real period |
R |
1.3810360428095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568be1 |
Quadratic twists by: -4 |