Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bz |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-508040382528 = -1 · 26 · 34 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1036,31458] |
[a1,a2,a3,a4,a6] |
Generators |
[43:392:1] |
Generators of the group modulo torsion |
j |
1919569026752/7938130977 |
j-invariant |
L |
2.8566031711785 |
L(r)(E,1)/r! |
Ω |
0.66347049283396 |
Real period |
R |
4.3055466701718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848cy1 11424u4 68544dn1 |
Quadratic twists by: -4 8 -3 |