Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51680c |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
32 |
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 |
[124:1292:1] |
Generators of the group modulo torsion |
j |
-20212559424/1630140625 |
j-invariant |
L |
3.9268275450046 |
L(r)(E,1)/r! |
Ω |
0.33091565318437 |
Real period |
R |
1.4833189013491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51680h2 103360bb1 |
Quadratic twists by: -4 8 |