Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122i |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
136127628 = 22 · 39 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8963136,10330761060] |
[a1,a2,a3,a4,a6] |
Generators |
[1458:18252:1] |
Generators of the group modulo torsion |
j |
109238611037284248339457/186732 |
j-invariant |
L |
4.3024218639266 |
L(r)(E,1)/r! |
Ω |
0.568117708318 |
Real period |
R |
3.7865584903739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10374k3 |
Quadratic twists by: -3 |