Atkin-Lehner |
2- 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778t |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7932415725994032 = -1 · 24 · 33 · 76 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-267563,53509419] |
[a1,a2,a3,a4,a6] |
j |
-78457884983764587027/293793175036816 |
j-invariant |
L |
6.679217999757 |
L(r)(E,1)/r! |
Ω |
0.41745112500521 |
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 |
50778b2 |
Quadratic twists by: -3 |