Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154h |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2548555152 = 24 · 3 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-341,-99] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
1.2227728254729 |
L(r)(E,1)/r! |
Ω |
1.2227728254729 |
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 |
89232cd1 33462ci1 122694cq1 66b1 |
Quadratic twists by: -4 -3 -11 13 |