Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700bf |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1194356441250000 = 24 · 34 · 57 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201033,-34720812] |
[a1,a2,a3,a4,a6] |
j |
3594081530527744/4777425765 |
j-invariant |
L |
3.6077562288903 |
L(r)(E,1)/r! |
Ω |
0.22548476430554 |
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 |
107100bs1 7140c1 |
Quadratic twists by: -3 5 |