Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286y |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
55233381924 = 22 · 36 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1773,26865] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:237:1] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
2.6933473142419 |
L(r)(E,1)/r! |
Ω |
1.0892594685487 |
Real period |
R |
0.61816017946361 |
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 |
2254g1 2898h1 |
Quadratic twists by: -3 -7 |