Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680n |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.7785919437454E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8846643,10124641618] |
[a1,a2,a3,a4,a6] |
Generators |
[-2977:100386:1] [1586:9126:1] |
Generators of the group modulo torsion |
j |
10625310339698/3855735 |
j-invariant |
L |
11.410295589951 |
L(r)(E,1)/r! |
Ω |
0.20660649787954 |
Real period |
R |
6.9033983104623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840g4 40560z4 9360t4 |
Quadratic twists by: -4 -3 13 |