Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53391c |
Isogeny class |
Conductor |
53391 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3902469868089 = 32 · 132 · 376 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6189,-164094] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:65:1] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
1.9081993314304 |
L(r)(E,1)/r! |
Ω |
0.54362658187339 |
Real period |
R |
3.5101288184976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994509 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39a1 |
Quadratic twists by: 37 |