Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ct |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
8111604695040 = 216 · 38 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8016,237204] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:672:1] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
6.2369791619851 |
L(r)(E,1)/r! |
Ω |
0.70848552648594 |
Real period |
R |
0.3668023156921 |
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 |
2310m1 73920ft1 55440en1 92400dw1 |
Quadratic twists by: -4 8 -3 5 |