Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410n |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
-84050798580 = -1 · 22 · 36 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58074,-5372200] |
[a1,a2,a3,a4,a6] |
Generators |
[129962:1714392:343] |
Generators of the group modulo torsion |
j |
-5154200289/20 |
j-invariant |
L |
3.0123069687648 |
L(r)(E,1)/r! |
Ω |
0.15377072865084 |
Real period |
R |
9.7947996839003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280ex1 490f1 22050dr1 4410i1 |
Quadratic twists by: -4 -3 5 -7 |