Atkin-Lehner |
11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109021l |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2266342321386077 = -1 · 116 · 176 · 53 |
Discriminant |
Eigenvalues |
1 0 0 -2 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21818,1920045] |
[a1,a2,a3,a4,a6] |
Generators |
[1742:32075:8] |
Generators of the group modulo torsion |
j |
648337611375/1279291157 |
j-invariant |
L |
3.2830344389646 |
L(r)(E,1)/r! |
Ω |
0.31841065290425 |
Real period |
R |
3.4368976113937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
901a2 |
Quadratic twists by: -11 |