Atkin-Lehner |
3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bf |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
295256390625 = 36 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1955,-20078] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:110:1] [-31:115:1] |
Generators of the group modulo torsion |
j |
72511713/25921 |
j-invariant |
L |
5.3384499542656 |
L(r)(E,1)/r! |
Ω |
0.73928066070177 |
Real period |
R |
1.8052852719015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4025a2 1449e2 |
Quadratic twists by: -3 5 |