Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51336k |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-37124552448 = -1 · 28 · 38 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,1658] |
[a1,a2,a3,a4,a6] |
j |
332750000/198927 |
j-invariant |
L |
2.8269542129758 |
L(r)(E,1)/r! |
Ω |
0.70673855320306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672e2 17112h2 |
Quadratic twists by: -4 -3 |