Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892d |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-15994812615936 = -1 · 28 · 3 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11580,-512952] |
[a1,a2,a3,a4,a6] |
Generators |
[15745:13132:125] |
Generators of the group modulo torsion |
j |
-5702413264/531069 |
j-invariant |
L |
5.5185124098182 |
L(r)(E,1)/r! |
Ω |
0.22889911205535 |
Real period |
R |
6.0272322724683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999067519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556i1 |
Quadratic twists by: -7 |