Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928p |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4757493844224 = 28 · 312 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4431,43310] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:396:1] |
Generators of the group modulo torsion |
j |
51553893328/25492401 |
j-invariant |
L |
2.9895532115335 |
L(r)(E,1)/r! |
Ω |
0.68397888223642 |
Real period |
R |
2.1854133871491 |
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 |
13464v2 107712fa2 8976e2 |
Quadratic twists by: -4 8 -3 |