Atkin-Lehner |
3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6555f |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2376 |
Modular degree for the optimal curve |
Δ |
-387066195 = -1 · 311 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 5 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-115,1098] |
[a1,a2,a3,a4,a6] |
j |
-169663430656/387066195 |
j-invariant |
L |
1.498894019052 |
L(r)(E,1)/r! |
Ω |
1.498894019052 |
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 |
104880dh1 19665n1 32775x1 124545bj1 |
Quadratic twists by: -4 -3 5 -19 |