Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680y |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
227200682961141760 = 221 · 5 · 136 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169387,13931226] |
[a1,a2,a3,a4,a6] |
Generators |
[85:384:1] |
Generators of the group modulo torsion |
j |
131221196419777281/55468916738560 |
j-invariant |
L |
3.4130535133901 |
L(r)(E,1)/r! |
Ω |
0.28390390909853 |
Real period |
R |
3.0054654089068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710j2 |
Quadratic twists by: -4 |