Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330y |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
999600 |
Modular degree for the optimal curve |
Δ |
20206867656250 = 2 · 57 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-295263,-61679219] |
[a1,a2,a3,a4,a6] |
Generators |
[-2315946330485275534768696989734732994299223396103429125252:1296593366293953677985418552408212090906251933856567394709:7385972007184880997019657409766888563426653782723305664] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
17.97576455162 |
L(r)(E,1)/r! |
Ω |
0.20480832112256 |
Real period |
R |
87.7687217643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730c1 |
Quadratic twists by: -11 |