Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800be |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
29200000000 = 210 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 2 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-4537] |
[a1,a2,a3,a4,a6] |
Generators |
[-11192:31163:512] |
Generators of the group modulo torsion |
j |
160000/73 |
j-invariant |
L |
7.0988109044216 |
L(r)(E,1)/r! |
Ω |
0.92782761455121 |
Real period |
R |
7.6510019778558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cy1 14600g1 116800g1 |
Quadratic twists by: -4 8 5 |