Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746v |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8368983499353124284 = 22 · 39 · 74 · 133 · 674 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11430491,14876810831] |
[a1,a2,a3,a4,a6] |
j |
226563949259187767339113/11480087104736796 |
j-invariant |
L |
5.2683018880233 |
L(r)(E,1)/r! |
Ω |
0.21951258338336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36582e4 |
Quadratic twists by: -3 |