Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cr |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25027023080521728 = 223 · 36 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74028,1472560] |
[a1,a2,a3,a4,a6] |
j |
234770924809/130960928 |
j-invariant |
L |
5.2288977255282 |
L(r)(E,1)/r! |
Ω |
0.3268061086621 |
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 |
68544ee2 2142t2 7616d2 |
Quadratic twists by: -4 8 -3 |