Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bq |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3756709329170595840 = -1 · 218 · 34 · 5 · 76 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,369560,34786672] |
[a1,a2,a3,a4,a6] |
Generators |
[-268124:18677568:4913] |
Generators of the group modulo torsion |
j |
1362753996381330839/917165363567040 |
j-invariant |
L |
6.0708597850555 |
L(r)(E,1)/r! |
Ω |
0.15640679923761 |
Real period |
R |
9.7036378550659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070e3 |
Quadratic twists by: -4 |