Atkin-Lehner |
5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4225i |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
39217823125 = 54 · 137 |
Discriminant |
Eigenvalues |
-2 1 5- -2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-85908,-9720356] |
[a1,a2,a3,a4,a6] |
j |
23242854400/13 |
j-invariant |
L |
0.5577258082335 |
L(r)(E,1)/r! |
Ω |
0.27886290411675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600cz1 38025co1 4225c2 325d1 |
Quadratic twists by: -4 -3 5 13 |