Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bw |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3.9078696488221E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,483849,271478323] |
[a1,a2,a3,a4,a6] |
Generators |
[431:-23883:1] |
Generators of the group modulo torsion |
j |
6814692748079/21258460125 |
j-invariant |
L |
7.6792549787642 |
L(r)(E,1)/r! |
Ω |
0.14442220604457 |
Real period |
R |
1.6616331005686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905h2 12075b2 |
Quadratic twists by: 5 -7 |