Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512m |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
-5201377205778432 = -1 · 211 · 35 · 710 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2132888,1198241904] |
[a1,a2,a3,a4,a6] |
j |
-1854888103250/8991 |
j-invariant |
L |
1.9032680203059 |
L(r)(E,1)/r! |
Ω |
0.38065360407651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024o1 43512a1 |
Quadratic twists by: -4 -7 |