Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bd |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-137820626944 = -1 · 213 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-17856] |
[a1,a2,a3,a4,a6] |
Generators |
[1344:8632:27] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
9.1932314552445 |
L(r)(E,1)/r! |
Ω |
0.47385676220787 |
Real period |
R |
4.8502164434596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014i1 2288g1 |
Quadratic twists by: -4 -7 |