Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642h |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-2626668 = -1 · 22 · 34 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [0:-9:1] |
Generators of the group modulo torsion |
j |
557183/21708 |
j-invariant |
L |
5.1330929592836 |
L(r)(E,1)/r! |
Ω |
1.9383762835528 |
Real period |
R |
0.66203515318961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48642s1 |
Quadratic twists by: -11 |