Atkin-Lehner |
5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4225a |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
265112484325 = 52 · 139 |
Discriminant |
Eigenvalues |
0 -1 5+ -4 6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9013,-325427] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:165:8] |
Generators of the group modulo torsion |
j |
671088640/2197 |
j-invariant |
L |
2.1051770890247 |
L(r)(E,1)/r! |
Ω |
0.49007627795673 |
Real period |
R |
2.1478055393762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600bs2 38025ba2 4225h2 325b2 |
Quadratic twists by: -4 -3 5 13 |