Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bb |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-44407554048 = -1 · 215 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,341,-9703] |
[a1,a2,a3,a4,a6] |
Generators |
[35:198:1] |
Generators of the group modulo torsion |
j |
25943020727/262766592 |
j-invariant |
L |
4.2435881182292 |
L(r)(E,1)/r! |
Ω |
0.56160059580604 |
Real period |
R |
0.2518746210931 |
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 |
89232cc1 33462w1 122694y1 11154e1 |
Quadratic twists by: -4 -3 -11 13 |