Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cq |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
Δ |
-5.885517729668E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-882638,487889892] |
[a1,a2,a3,a4,a6] |
Generators |
[496:-13370:1] |
Generators of the group modulo torsion |
j |
-4866890555501529625/3766731346987488 |
j-invariant |
L |
10.317032079685 |
L(r)(E,1)/r! |
Ω |
0.18160808062808 |
Real period |
R |
0.51644838930191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046b2 |
Quadratic twists by: 5 |