Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928p |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18517383447552 = 210 · 39 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57891,5357234] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2448:1] |
Generators of the group modulo torsion |
j |
28742820444292/24805737 |
j-invariant |
L |
2.9895532115335 |
L(r)(E,1)/r! |
Ω |
0.68397888223642 |
Real period |
R |
1.0927066935746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13464v3 107712fa4 8976e3 |
Quadratic twists by: -4 8 -3 |