Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496g |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14629223668908032 = 221 · 178 |
Discriminant |
Eigenvalues |
2+ -2 0 4 6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-795713,272874271] |
[a1,a2,a3,a4,a6] |
Generators |
[571:2240:1] |
Generators of the group modulo torsion |
j |
8805624625/2312 |
j-invariant |
L |
4.4694383533757 |
L(r)(E,1)/r! |
Ω |
0.38549994986993 |
Real period |
R |
2.8984688291682 |
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 |
18496n2 578a2 1088c2 |
Quadratic twists by: -4 8 17 |