Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056a |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
5130585888766208 = 28 · 132 · 179 |
Discriminant |
Eigenvalues |
2+ 0 0 4 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270215,-53954566] |
[a1,a2,a3,a4,a6] |
Generators |
[-402503210:-99442312:1295029] |
Generators of the group modulo torsion |
j |
71874000/169 |
j-invariant |
L |
6.0054476885861 |
L(r)(E,1)/r! |
Ω |
0.20942742505342 |
Real period |
R |
14.337777602561 |
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 |
60112c1 30056b1 |
Quadratic twists by: -4 17 |