Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bp |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.2230246170368E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12936008,18238191988] |
[a1,a2,a3,a4,a6] |
Generators |
[2238:22400:1] |
Generators of the group modulo torsion |
j |
-3740628669743972161/81609759641200 |
j-invariant |
L |
4.080243686244 |
L(r)(E,1)/r! |
Ω |
0.13600969116837 |
Real period |
R |
2.499971172064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150a3 16240q3 |
Quadratic twists by: -4 5 |