Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bk |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-1447200000000 = -1 · 211 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,69588] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:300:1] |
Generators of the group modulo torsion |
j |
-1488770/1809 |
j-invariant |
L |
8.7902528115485 |
L(r)(E,1)/r! |
Ω |
0.77044522718265 |
Real period |
R |
0.31692543556295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200ba1 80400h1 |
Quadratic twists by: -4 5 |