Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118k |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-342216448 = -1 · 28 · 7 · 192 · 232 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[20:66:1] |
Generators of the group modulo torsion |
j |
-37966934881/342216448 |
j-invariant |
L |
3.0332942336018 |
L(r)(E,1)/r! |
Ω |
0.7223033743999 |
Real period |
R |
0.52493424873619 |
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 |
48944r1 55062r1 42826q1 116242k1 |
Quadratic twists by: -4 -3 -7 -19 |