Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048s |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
689920 |
Modular degree for the optimal curve |
Δ |
-1.4541536192999E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 5 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,221807,-578859707] |
[a1,a2,a3,a4,a6] |
j |
116822144000/14076282141 |
j-invariant |
L |
1.7369941558879 |
L(r)(E,1)/r! |
Ω |
0.086849707794407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096p1 81144o1 27048u1 |
Quadratic twists by: -4 -3 -7 |