Atkin-Lehner |
5+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41075c |
Isogeny class |
Conductor |
41075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15804 |
Modular degree for the optimal curve |
Δ |
-115379675 = -1 · 52 · 31 · 533 |
Discriminant |
Eigenvalues |
-2 1 5+ -1 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,122,24] |
[a1,a2,a3,a4,a6] |
j |
7967068160/4615187 |
j-invariant |
L |
1.1117787919858 |
L(r)(E,1)/r! |
Ω |
1.1117787918333 |
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 |
41075f1 |
Quadratic twists by: 5 |