Atkin-Lehner |
2- 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bm |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6428856897918 = 2 · 37 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5738,115899] |
[a1,a2,a3,a4,a6] |
j |
28655425171801/8818733742 |
j-invariant |
L |
8.3588752989215 |
L(r)(E,1)/r! |
Ω |
0.69657294160063 |
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 |
16926h2 |
Quadratic twists by: -3 |