Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124s |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
15803718770136528 = 24 · 312 · 7 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153660,22381189] |
[a1,a2,a3,a4,a6] |
Generators |
[10900019540:41153654529:39304000] |
Generators of the group modulo torsion |
j |
34400019417088000/1354914160677 |
j-invariant |
L |
6.2470093359779 |
L(r)(E,1)/r! |
Ω |
0.38901805041222 |
Real period |
R |
16.058404820404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708i1 |
Quadratic twists by: -3 |