Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81400a |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
32773878500000000 = 28 · 59 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82908,2898688] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:3400:1] |
Generators of the group modulo torsion |
j |
15756446357584/8193469625 |
j-invariant |
L |
4.6718160320219 |
L(r)(E,1)/r! |
Ω |
0.32482732080574 |
Real period |
R |
3.5956150641168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280g1 |
Quadratic twists by: 5 |