Atkin-Lehner |
2- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17020d |
Isogeny class |
Conductor |
17020 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
200160 |
Modular degree for the optimal curve |
Δ |
-23604682962800 = -1 · 24 · 52 · 23 · 376 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4704990,-3926564975] |
[a1,a2,a3,a4,a6] |
j |
-719912867230729502876416/1475292685175 |
j-invariant |
L |
1.8451529668243 |
L(r)(E,1)/r! |
Ω |
0.051254249078454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68080u1 85100b1 |
Quadratic twists by: -4 5 |