Atkin-Lehner |
5+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41075b |
Isogeny class |
Conductor |
41075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8220 |
Modular degree for the optimal curve |
Δ |
-41075 = -1 · 52 · 31 · 53 |
Discriminant |
Eigenvalues |
2 -3 5+ 0 -6 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5,-9] |
[a1,a2,a3,a4,a6] |
j |
552960/1643 |
j-invariant |
L |
1.8569812629831 |
L(r)(E,1)/r! |
Ω |
1.8569812628551 |
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 |
41075g1 |
Quadratic twists by: 5 |