Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046b |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-675851932 = -1 · 22 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,1376] |
[a1,a2,a3,a4,a6] |
Generators |
[2:32:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
3.557944624443 |
L(r)(E,1)/r! |
Ω |
1.4416380291762 |
Real period |
R |
2.4679874923084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368bd1 129472l1 36414cf1 101150cl1 |
Quadratic twists by: -4 8 -3 5 |