Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43424d |
Isogeny class |
Conductor |
43424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-1997504 = -1 · 26 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ -3 3 -1 -4 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[13:46:1] |
Generators of the group modulo torsion |
j |
-1728/31211 |
j-invariant |
L |
4.0184745367406 |
L(r)(E,1)/r! |
Ω |
1.1947239140779 |
Real period |
R |
0.84087932144792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43424e1 86848i1 |
Quadratic twists by: -4 8 |