Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440j |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-9.7538648528679E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -3 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57440,150373620] |
[a1,a2,a3,a4,a6] |
Generators |
[-12876:224414:27] |
Generators of the group modulo torsion |
j |
-40935924753857288/19050517290757635 |
j-invariant |
L |
6.2127429693028 |
L(r)(E,1)/r! |
Ω |
0.18623663400047 |
Real period |
R |
8.3398508068098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440p1 98880bp1 |
Quadratic twists by: -4 8 |