Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696n |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
370412146368 = 26 · 33 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1815,5324] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:118:1] [88:726:1] |
Generators of the group modulo torsion |
j |
216000/121 |
j-invariant |
L |
9.9627842746785 |
L(r)(E,1)/r! |
Ω |
0.82443358578851 |
Real period |
R |
6.0421994241898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696h1 34848bj2 69696m1 6336f1 |
Quadratic twists by: -4 8 -3 -11 |