Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
6640i |
Isogeny class |
Conductor |
6640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-212480000 = -1 · 212 · 54 · 83 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -3 -6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1747,28114] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:230:1] [-7:200:1] |
Generators of the group modulo torsion |
j |
-143960212521/51875 |
j-invariant |
L |
3.5943332753155 |
L(r)(E,1)/r! |
Ω |
1.7436844967277 |
Real period |
R |
0.12883398925015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
415a1 26560m1 59760y1 33200ba1 |
Quadratic twists by: -4 8 -3 5 |