Atkin-Lehner |
5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1075f |
Isogeny class |
Conductor |
1075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
270 |
Modular degree for the optimal curve |
Δ |
-16796875 = -1 · 58 · 43 |
Discriminant |
Eigenvalues |
0 -2 5- 4 1 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-83,-381] |
[a1,a2,a3,a4,a6] |
j |
-163840/43 |
j-invariant |
L |
0.77936712373575 |
L(r)(E,1)/r! |
Ω |
0.77936712373575 |
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 |
17200bg1 68800ck1 9675u1 1075b1 |
Quadratic twists by: -4 8 -3 5 |