Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
4425j |
Isogeny class |
Conductor |
4425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29168701171875 = -1 · 34 · 514 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4937,-222508] |
[a1,a2,a3,a4,a6] |
Generators |
[47:314:1] |
Generators of the group modulo torsion |
j |
851701809239/1866796875 |
j-invariant |
L |
2.6493432309897 |
L(r)(E,1)/r! |
Ω |
0.34421198625916 |
Real period |
R |
1.9242090170816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70800u3 13275n4 885b4 |
Quadratic twists by: -4 -3 5 |