Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100188s |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-841952457479696112 = -1 · 24 · 36 · 1112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2481105,-1504883171] |
[a1,a2,a3,a4,a6] |
j |
-81743931616000/40745903 |
j-invariant |
L |
1.0825991668427 |
L(r)(E,1)/r! |
Ω |
0.060144412706479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132g2 9108o2 |
Quadratic twists by: -3 -11 |