Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928a |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16018497792 = 28 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,19926] |
[a1,a2,a3,a4,a6] |
Generators |
[1:136:1] |
Generators of the group modulo torsion |
j |
64314864/3179 |
j-invariant |
L |
3.6106552117961 |
L(r)(E,1)/r! |
Ω |
1.2239527972755 |
Real period |
R |
1.4749977367727 |
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 |
13464c2 107712cz2 26928f2 |
Quadratic twists by: -4 8 -3 |