Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762s |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-10131515375616 = -1 · 221 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5296,36659] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1105:1] [13:321:1] |
Generators of the group modulo torsion |
j |
10202844647/6291456 |
j-invariant |
L |
10.964467990343 |
L(r)(E,1)/r! |
Ω |
0.4471089801176 |
Real period |
R |
0.29194086149438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13254a2 39762r2 |
Quadratic twists by: -3 -47 |