Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bq |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-112112 = -1 · 24 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3 2 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,-133] |
[a1,a2,a3,a4,a6] |
j |
-16595712/143 |
j-invariant |
L |
8.1159573055512 |
L(r)(E,1)/r! |
Ω |
0.90177298982053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028f1 112112y1 |
Quadratic twists by: -4 -7 |