Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328m |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
20995946496 = 211 · 36 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-10222] |
[a1,a2,a3,a4,a6] |
j |
76545506/14063 |
j-invariant |
L |
5.1443522933897 |
L(r)(E,1)/r! |
Ω |
0.8573920488931 |
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 |
20664f1 4592b1 |
Quadratic twists by: -4 -3 |