Atkin-Lehner |
5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
41075f |
Isogeny class |
Conductor |
41075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
79020 |
Modular degree for the optimal curve |
Δ |
-1802807421875 = -1 · 58 · 31 · 533 |
Discriminant |
Eigenvalues |
2 -1 5- 1 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3042,-3057] |
[a1,a2,a3,a4,a6] |
j |
7967068160/4615187 |
j-invariant |
L |
4.4748233180562 |
L(r)(E,1)/r! |
Ω |
0.49720259089637 |
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 |
41075c1 |
Quadratic twists by: 5 |