Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222a |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-796169247316352 = -1 · 27 · 73 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -1 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23494,1930388] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1512:1] |
Generators of the group modulo torsion |
j |
-297141543217/164947328 |
j-invariant |
L |
2.9790374501686 |
L(r)(E,1)/r! |
Ω |
0.46736969906984 |
Real period |
R |
1.5935122966317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094f1 |
Quadratic twists by: 13 |