Atkin-Lehner |
2- 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bj |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
4.4904190063477E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1272313,-449061469] |
[a1,a2,a3,a4,a6] |
Generators |
[-69200715370:-898476929821:96071912] |
Generators of the group modulo torsion |
j |
14577585637507429321/2873868164062500 |
j-invariant |
L |
8.7132843868194 |
L(r)(E,1)/r! |
Ω |
0.14410701213506 |
Real period |
R |
15.115996557494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110f1 |
Quadratic twists by: 5 |