Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680s |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1032873574400 = 220 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13560,601300] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:930:1] |
Generators of the group modulo torsion |
j |
67324767141241/252166400 |
j-invariant |
L |
5.4855345482483 |
L(r)(E,1)/r! |
Ω |
0.87980683833797 |
Real period |
R |
1.5587326401988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710i1 |
Quadratic twists by: -4 |