Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66924l |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3100722768 = 24 · 36 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4680,123201] |
[a1,a2,a3,a4,a6] |
Generators |
[30:99:1] [-36:495:1] |
Generators of the group modulo torsion |
j |
442368000/121 |
j-invariant |
L |
9.4644956086784 |
L(r)(E,1)/r! |
Ω |
1.3882813355845 |
Real period |
R |
0.56811825324727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7436d1 66924q1 |
Quadratic twists by: -3 13 |