Atkin-Lehner |
2+ 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778d |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
646763854464 = 27 · 39 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-571443,166410485] |
[a1,a2,a3,a4,a6] |
j |
1048459353523617699/32859008 |
j-invariant |
L |
1.3368188680264 |
L(r)(E,1)/r! |
Ω |
0.6684094343855 |
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 |
50778v2 |
Quadratic twists by: -3 |