Atkin-Lehner |
37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
58867b |
Isogeny class |
Conductor |
58867 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103968 |
Modular degree for the optimal curve |
Δ |
-110326235587 = -1 · 376 · 43 |
Discriminant |
Eigenvalues |
2 -2 4 0 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-456,16263] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
7.192376161369 |
L(r)(E,1)/r! |
Ω |
0.89904702061408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43a1 |
Quadratic twists by: 37 |