Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832c |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
319776678144 = 28 · 36 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4324,-104576] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:56:1] |
Generators of the group modulo torsion |
j |
34933430581072/1249127649 |
j-invariant |
L |
2.2326190179197 |
L(r)(E,1)/r! |
Ω |
0.59002899641129 |
Real period |
R |
1.8919570322545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996906 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31416r2 |
Quadratic twists by: -4 |