Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bg |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-16249913295616 = -1 · 28 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11+ 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,-201684] |
[a1,a2,a3,a4,a6] |
Generators |
[74:22:1] [98:686:1] |
Generators of the group modulo torsion |
j |
-221184/1573 |
j-invariant |
L |
8.8837135717002 |
L(r)(E,1)/r! |
Ω |
0.29243026267264 |
Real period |
R |
3.7973641521085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028k1 112112ba1 |
Quadratic twists by: -4 -7 |