Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365o |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
439336150765115625 = 310 · 55 · 79 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1345296,599626215] |
[a1,a2,a3,a4,a6] |
j |
6672597445507447/10887159375 |
j-invariant |
L |
1.4865718172213 |
L(r)(E,1)/r! |
Ω |
0.29731436346463 |
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 |
43365h1 |
Quadratic twists by: -7 |