Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bz |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
177060511232458752 = 215 · 3 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541153,-735613215] |
[a1,a2,a3,a4,a6] |
Generators |
[283304840:-22587425743:42875] |
Generators of the group modulo torsion |
j |
6859000/3 |
j-invariant |
L |
4.3387075595317 |
L(r)(E,1)/r! |
Ω |
0.13550318159172 |
Real period |
R |
16.00961502447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dh2 50784j2 101568bx2 |
Quadratic twists by: -4 8 -23 |