Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568i |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-11771071414272 = -1 · 214 · 310 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29777,1994577] |
[a1,a2,a3,a4,a6] |
j |
-14647977776/59049 |
j-invariant |
L |
2.8739559167426 |
L(r)(E,1)/r! |
Ω |
0.71848907657947 |
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 |
101568dl1 12696s1 101568l1 |
Quadratic twists by: -4 8 -23 |