Atkin-Lehner |
3- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565h |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-926064646875 = -1 · 38 · 55 · 312 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 4 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1038,-48056] |
[a1,a2,a3,a4,a6] |
Generators |
[56:263:1] |
Generators of the group modulo torsion |
j |
-169663430656/1270321875 |
j-invariant |
L |
4.0075418358499 |
L(r)(E,1)/r! |
Ω |
0.3718566227855 |
Real period |
R |
2.6942789174497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21855b1 |
Quadratic twists by: -3 |