Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568x |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6651316595862798336 = 220 · 34 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-576257,-114003105] |
[a1,a2,a3,a4,a6] |
Generators |
[752597373:31964728320:357911] |
Generators of the group modulo torsion |
j |
545338513/171396 |
j-invariant |
L |
9.8922693662688 |
L(r)(E,1)/r! |
Ω |
0.17755870199565 |
Real period |
R |
13.928167493455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001016 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101568ce2 3174g2 4416i2 |
Quadratic twists by: -4 8 -23 |