Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bj |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
33673831488 = 26 · 33 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5445,154396] |
[a1,a2,a3,a4,a6] |
Generators |
[47:48:1] |
Generators of the group modulo torsion |
j |
5832000/11 |
j-invariant |
L |
5.3792862304281 |
L(r)(E,1)/r! |
Ω |
1.165925158298 |
Real period |
R |
2.3068745845915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848c1 69696n2 34848d1 3168a1 |
Quadratic twists by: -4 8 -3 -11 |