Atkin-Lehner |
3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8265a |
Isogeny class |
Conductor |
8265 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-386364988125 = -1 · 310 · 54 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2250,50625] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-225:1] |
Generators of the group modulo torsion |
j |
-1259746992324001/386364988125 |
j-invariant |
L |
2.810388065184 |
L(r)(E,1)/r! |
Ω |
0.89966837520263 |
Real period |
R |
0.15619022201103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24795f2 41325a2 |
Quadratic twists by: -3 5 |