Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056b |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
212556032 = 28 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-935,-10982] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:4:1] |
Generators of the group modulo torsion |
j |
71874000/169 |
j-invariant |
L |
3.6598515456345 |
L(r)(E,1)/r! |
Ω |
0.86349139439638 |
Real period |
R |
2.1192171510828 |
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 |
60112b1 30056a1 |
Quadratic twists by: -4 17 |