Atkin-Lehner |
2- 3+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91632j |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
51302191104 = 212 · 38 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 0 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-997,-4979] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:81:1] [36:67:1] |
Generators of the group modulo torsion |
j |
26784575488/12524949 |
j-invariant |
L |
8.8988789264896 |
L(r)(E,1)/r! |
Ω |
0.88889718168994 |
Real period |
R |
5.0055726971969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5727i1 |
Quadratic twists by: -4 |