Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416l |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
2490615872 = 26 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 0 -4 2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1697,-26800] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:8:1] [103:944:1] |
Generators of the group modulo torsion |
j |
8444797988544/38915873 |
j-invariant |
L |
7.4494309721327 |
L(r)(E,1)/r! |
Ω |
0.74404555512194 |
Real period |
R |
10.012062999172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416m1 96832n1 |
Quadratic twists by: -4 8 |