Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152f |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-412534784 = -1 · 211 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 -4 1 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,1108] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:34:1] |
Generators of the group modulo torsion |
j |
-136835858/201433 |
j-invariant |
L |
4.3030361877899 |
L(r)(E,1)/r! |
Ω |
1.5116476027644 |
Real period |
R |
0.4744311416586 |
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 |
5576e1 44608bo1 100368j1 |
Quadratic twists by: -4 8 -3 |