Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568c |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8186201893632 = -1 · 28 · 3 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4132,172852] |
[a1,a2,a3,a4,a6] |
j |
-259108432/271803 |
j-invariant |
L |
2.6803647473447 |
L(r)(E,1)/r! |
Ω |
0.67009118687796 |
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 |
101136s2 7224b2 |
Quadratic twists by: -4 -7 |