Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160o |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55763840000 = 210 · 54 · 11 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-976,2640] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:86:1] [-8:100:1] |
Generators of the group modulo torsion |
j |
100512044356/54456875 |
j-invariant |
L |
6.1058984630039 |
L(r)(E,1)/r! |
Ω |
0.97443973258563 |
Real period |
R |
3.1330303244108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320h2 |
Quadratic twists by: -4 |