Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550u |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
4355000000 = 26 · 57 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -2 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-880,9747] |
[a1,a2,a3,a4,a6] |
Generators |
[9:45:1] |
Generators of the group modulo torsion |
j |
4818245769/278720 |
j-invariant |
L |
9.2255690324453 |
L(r)(E,1)/r! |
Ω |
1.3600554006566 |
Real period |
R |
0.56526919344567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710c1 |
Quadratic twists by: 5 |