Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220j |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
28593810000 = 24 · 35 · 54 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-354361,-81310936] |
[a1,a2,a3,a4,a6] |
j |
307569106352685236224/1787113125 |
j-invariant |
L |
2.9351427783686 |
L(r)(E,1)/r! |
Ω |
0.19567618522457 |
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 |
68880bd1 51660q1 86100b1 120540u1 |
Quadratic twists by: -4 -3 5 -7 |