Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bx |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.3661635689E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2533640,-5405901008] |
[a1,a2,a3,a4,a6] |
Generators |
[2029:89910:1] |
Generators of the group modulo torsion |
j |
439135263576766951559/3335360275634765625 |
j-invariant |
L |
6.2968800290084 |
L(r)(E,1)/r! |
Ω |
0.062417464021929 |
Real period |
R |
2.1017355032341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215h2 |
Quadratic twists by: -4 |