Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24684a |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
-5756863265041152 = -1 · 28 · 3 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11- 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39043,2110473] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:1326:1] |
Generators of the group modulo torsion |
j |
991232/867 |
j-invariant |
L |
5.1460040246844 |
L(r)(E,1)/r! |
Ω |
0.27765507181027 |
Real period |
R |
3.0889669396476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cy1 74052t1 24684d1 |
Quadratic twists by: -4 -3 -11 |