Atkin-Lehner |
2+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256f |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
684352 = 26 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 -5 -3 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] [8:17:1] |
Generators of the group modulo torsion |
j |
21952000/10693 |
j-invariant |
L |
6.5563848778589 |
L(r)(E,1)/r! |
Ω |
2.5476960228211 |
Real period |
R |
1.2867282476263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256e1 20128g1 |
Quadratic twists by: -4 8 |