Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170p |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.1501559113823E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-358209,182937415] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-12233:1] |
Generators of the group modulo torsion |
j |
-6972786145964248849/15777172995642450 |
j-invariant |
L |
5.4584581874302 |
L(r)(E,1)/r! |
Ω |
0.20097056841922 |
Real period |
R |
1.6975303368938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390n4 |
Quadratic twists by: -3 |