Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160ce |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-428825640960000 = -1 · 230 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33281,-2529375] |
[a1,a2,a3,a4,a6] |
Generators |
[183953:3964416:343] |
Generators of the group modulo torsion |
j |
-15551989015681/1635840000 |
j-invariant |
L |
6.406041414589 |
L(r)(E,1)/r! |
Ω |
0.17568903034235 |
Real period |
R |
9.1155967486788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160ba1 17040bc1 |
Quadratic twists by: -4 8 |