Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bu |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
323606016000 = 212 · 37 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,-5600] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:140:1] [-6:68:1] |
Generators of the group modulo torsion |
j |
1560896/867 |
j-invariant |
L |
11.726465607082 |
L(r)(E,1)/r! |
Ω |
0.79248913569061 |
Real period |
R |
1.849625609434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400eh2 40800bw2 122400dy2 |
Quadratic twists by: -4 -3 5 |