Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360q |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6967274919951744000 = 210 · 33 · 53 · 1710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20835840,36613767600] |
[a1,a2,a3,a4,a6] |
j |
40472803590982276/281883375 |
j-invariant |
L |
1.2674165996698 |
L(r)(E,1)/r! |
Ω |
0.21123609935941 |
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 |
34680bw4 4080l3 |
Quadratic twists by: -4 17 |