Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400c |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
9801000000 = 26 · 34 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-858,8712] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:100:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
4.7006013258373 |
L(r)(E,1)/r! |
Ω |
1.2408717225585 |
Real period |
R |
1.8940722237369 |
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 |
26400cb1 52800cr2 79200dx1 1056i1 |
Quadratic twists by: -4 8 -3 5 |