Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154b |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3180596829696 = -1 · 29 · 32 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7777,274357] |
[a1,a2,a3,a4,a6] |
Generators |
[31:238:1] |
Generators of the group modulo torsion |
j |
-10779215329/658944 |
j-invariant |
L |
3.3125239009699 |
L(r)(E,1)/r! |
Ω |
0.78580449484083 |
Real period |
R |
1.0538638817664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232ck1 33462cy1 122694cg1 858g1 |
Quadratic twists by: -4 -3 -11 13 |