Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43808q |
Isogeny class |
Conductor |
43808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
3241792 = 26 · 373 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.2529410018046 |
L(r)(E,1)/r! |
Ω |
2.126286515048 |
Real period |
R |
1.5298695536907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43808q1 87616bt2 43808h1 |
Quadratic twists by: -4 8 37 |