Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130k |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-16835571900 = -1 · 22 · 33 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1114,15512] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:152:1] |
Generators of the group modulo torsion |
j |
-152692868077849/16835571900 |
j-invariant |
L |
3.9537796497684 |
L(r)(E,1)/r! |
Ω |
1.2012843758929 |
Real period |
R |
1.6456468298065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
89040y1 33390bw1 55650bx1 77910p1 |
Quadratic twists by: -4 -3 5 -7 |