Atkin-Lehner |
2+ 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290u |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1244947925918361600 = 211 · 36 · 52 · 13 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1325439,-584547827] |
[a1,a2,a3,a4,a6] |
Generators |
[-2564155545:5500367294:3723875] |
Generators of the group modulo torsion |
j |
353244658721264767729/1707747497830400 |
j-invariant |
L |
4.5088294318654 |
L(r)(E,1)/r! |
Ω |
0.14074596890009 |
Real period |
R |
16.017614810182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810f2 |
Quadratic twists by: -3 |