Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470bd |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-279141390000 = -1 · 24 · 36 · 54 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,109,25425] |
[a1,a2,a3,a4,a6] |
Generators |
[16:169:1] |
Generators of the group modulo torsion |
j |
143137741391/279141390000 |
j-invariant |
L |
8.0084957574585 |
L(r)(E,1)/r! |
Ω |
0.76574403167843 |
Real period |
R |
0.4357687548619 |
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 |
58410n2 97350j2 |
Quadratic twists by: -3 5 |