Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960u |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2161026325655E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1170723,-457783378] |
[a1,a2,a3,a4,a6] |
Generators |
[19351:2687580:1] |
Generators of the group modulo torsion |
j |
5052857764/346275 |
j-invariant |
L |
6.1932481252584 |
L(r)(E,1)/r! |
Ω |
0.14576548663544 |
Real period |
R |
5.3109691650199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320w2 6840o2 |
Quadratic twists by: -3 -19 |