Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4070f |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
5730560 = 28 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-472,4059] |
[a1,a2,a3,a4,a6] |
j |
11606113520721/5730560 |
j-invariant |
L |
2.3676164964569 |
L(r)(E,1)/r! |
Ω |
2.3676164964569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32560t1 36630m1 20350a1 44770i1 |
Quadratic twists by: -4 -3 5 -11 |