Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520m |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1905152000 = 212 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2480665,-1503008775] |
[a1,a2,a3,a4,a6] |
Generators |
[516034747122450:21845349543364145:181129350312] |
Generators of the group modulo torsion |
j |
412162330287989215936/465125 |
j-invariant |
L |
8.0785573494805 |
L(r)(E,1)/r! |
Ω |
0.12029775159131 |
Real period |
R |
22.384894266149 |
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 |
19520n2 9760g1 97600t2 |
Quadratic twists by: -4 8 5 |