Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600be |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-79200000000 = -1 · 211 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,-42912] |
[a1,a2,a3,a4,a6] |
j |
-1488770/99 |
j-invariant |
L |
2.0813279511839 |
L(r)(E,1)/r! |
Ω |
0.34688799186398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200o1 52800bw1 19800u1 6600b1 |
Quadratic twists by: -4 8 -3 5 |