Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568t |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25947921087986688 = -1 · 210 · 32 · 77 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35656,-7292160] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2352:1] [1130:6105:8] |
Generators of the group modulo torsion |
j |
41612249948/215384463 |
j-invariant |
L |
10.176610762863 |
L(r)(E,1)/r! |
Ω |
0.18920992963862 |
Real period |
R |
13.446190142215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136g3 7224h4 |
Quadratic twists by: -4 -7 |