Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682d |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
126035763654764304 = 24 · 320 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-449838,114976260] |
[a1,a2,a3,a4,a6] |
Generators |
[432:846:1] |
Generators of the group modulo torsion |
j |
13809092721694064353/172888564684176 |
j-invariant |
L |
2.3662521610656 |
L(r)(E,1)/r! |
Ω |
0.33116725021031 |
Real period |
R |
1.1908646157709 |
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 |
93456bs1 3894p1 128502cd1 |
Quadratic twists by: -4 -3 -11 |