Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450da |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2839390848000 = 210 · 39 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16957460,-26873287433] |
[a1,a2,a3,a4,a6] |
j |
219181950070420668759/1154048 |
j-invariant |
L |
5.9518138922268 |
L(r)(E,1)/r! |
Ω |
0.074397673753155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450t2 72450n2 |
Quadratic twists by: -3 5 |