Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cf |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.2701199862367E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66729196,209594506276] |
[a1,a2,a3,a4,a6] |
Generators |
[5878:142884:1] |
Generators of the group modulo torsion |
j |
1091046322587485234896/1417789883147085 |
j-invariant |
L |
2.5597872117974 |
L(r)(E,1)/r! |
Ω |
0.11394535071949 |
Real period |
R |
2.8081303999166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280ca2 |
Quadratic twists by: -7 |