Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664a |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-28559229696 = -1 · 28 · 33 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1385,21909] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:203:1] |
Generators of the group modulo torsion |
j |
-1148541254656/111559491 |
j-invariant |
L |
5.2126394682438 |
L(r)(E,1)/r! |
Ω |
1.1528722456786 |
Real period |
R |
2.2607186042437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11832e1 94656bu1 70992g1 |
Quadratic twists by: -4 8 -3 |