Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bm |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-161715585024 = -1 · 224 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377,27135] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/616896 |
j-invariant |
L |
3.795700317099 |
L(r)(E,1)/r! |
Ω |
0.94892507927475 |
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 |
22848bw1 714d1 68544bz1 |
Quadratic twists by: -4 8 -3 |