Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51680h |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6677056000000 = -1 · 212 · 56 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-908,124768] |
[a1,a2,a3,a4,a6] |
Generators |
[12:340:1] |
Generators of the group modulo torsion |
j |
-20212559424/1630140625 |
j-invariant |
L |
5.5770254127499 |
L(r)(E,1)/r! |
Ω |
0.61761723598124 |
Real period |
R |
2.2574764303142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51680c2 103360bi1 |
Quadratic twists by: -4 8 |