Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dz |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1664181120000 = -1 · 210 · 3 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1259,-60059] |
[a1,a2,a3,a4,a6] |
Generators |
[36:175:1] |
Generators of the group modulo torsion |
j |
215355490304/1625176875 |
j-invariant |
L |
3.8049339983827 |
L(r)(E,1)/r! |
Ω |
0.41838289095129 |
Real period |
R |
1.1367978099129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999087373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ck1 31920cf1 |
Quadratic twists by: -4 8 |