Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bn |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7177719763142578125 = -1 · 310 · 59 · 76 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182817,132409966] |
[a1,a2,a3,a4,a6] |
Generators |
[218:-10252:1] |
Generators of the group modulo torsion |
j |
-59323563117001/630142750125 |
j-invariant |
L |
6.7790932290153 |
L(r)(E,1)/r! |
Ω |
0.20070700995354 |
Real period |
R |
1.4073360862733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12075j2 7245j2 |
Quadratic twists by: -3 5 |