Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bn |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-154183500000000 = -1 · 28 · 38 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1364700,613626500] |
[a1,a2,a3,a4,a6] |
Generators |
[680:250:1] |
Generators of the group modulo torsion |
j |
-96393503896576/52875 |
j-invariant |
L |
5.2604708296382 |
L(r)(E,1)/r! |
Ω |
0.47405033050766 |
Real period |
R |
0.69355383903153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200c1 16920f1 |
Quadratic twists by: -3 5 |