Atkin-Lehner |
3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575l |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
170246844140625 = 37 · 58 · 74 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2363963,-1399169208] |
[a1,a2,a3,a4,a6] |
j |
93503038071221809129/10895798025 |
j-invariant |
L |
1.7045801380878 |
L(r)(E,1)/r! |
Ω |
0.12175572415765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715c1 |
Quadratic twists by: 5 |