Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424t |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-133249536 = -1 · 29 · 37 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128,56] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
449455096/260253 |
j-invariant |
L |
4.1208802576598 |
L(r)(E,1)/r! |
Ω |
1.1066268441429 |
Real period |
R |
0.26598721275447 |
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 |
11424d1 22848d1 34272o1 79968by1 |
Quadratic twists by: -4 8 -3 -7 |