Atkin-Lehner |
5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1075b |
Isogeny class |
Conductor |
1075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54 |
Modular degree for the optimal curve |
Δ |
-1075 = -1 · 52 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ -4 1 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3,-2] |
[a1,a2,a3,a4,a6] |
j |
-163840/43 |
j-invariant |
L |
1.7427178681016 |
L(r)(E,1)/r! |
Ω |
1.7427178681016 |
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 |
17200p1 68800t1 9675l1 1075f1 |
Quadratic twists by: -4 8 -3 5 |