Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11352m |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-2747184 = -1 · 24 · 3 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21,78] |
[a1,a2,a3,a4,a6] |
j |
61011968/171699 |
j-invariant |
L |
3.5871914576342 |
L(r)(E,1)/r! |
Ω |
1.7935957288171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22704g1 90816r1 34056m1 124872p1 |
Quadratic twists by: -4 8 -3 -11 |