Atkin-Lehner |
2- 3+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486k |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
6854512896 = 28 · 38 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-517,1931] |
[a1,a2,a3,a4,a6] |
j |
15284380546513/6854512896 |
j-invariant |
L |
4.7780932134979 |
L(r)(E,1)/r! |
Ω |
1.1945233033745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73458o1 |
Quadratic twists by: -3 |