Atkin-Lehner |
2- 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22724a |
Isogeny class |
Conductor |
22724 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20448 |
Modular degree for the optimal curve |
Δ |
11115718833232 = 24 · 13 · 192 · 236 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5620,23793] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:399:1] |
Generators of the group modulo torsion |
j |
1226909915136000/694732427077 |
j-invariant |
L |
4.7516837367578 |
L(r)(E,1)/r! |
Ω |
0.61840183383434 |
Real period |
R |
2.5612708311334 |
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 |
90896h1 |
Quadratic twists by: -4 |