Atkin-Lehner |
2- 3- 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746q |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7742690046 = 2 · 36 · 7 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509,1383] |
[a1,a2,a3,a4,a6] |
j |
19968681097/10620974 |
j-invariant |
L |
2.3067896062489 |
L(r)(E,1)/r! |
Ω |
1.153394601046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12194c2 |
Quadratic twists by: -3 |