Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400p |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
173723680000 = 28 · 54 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1433,5363] |
[a1,a2,a3,a4,a6] |
Generators |
[38:85:1] |
Generators of the group modulo torsion |
j |
2035379200/1085773 |
j-invariant |
L |
7.9505644182019 |
L(r)(E,1)/r! |
Ω |
0.88946867351901 |
Real period |
R |
0.74487956092002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44200q1 88400j1 |
Quadratic twists by: -4 5 |