Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440by |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-34965132209280000 = -1 · 210 · 36 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81520,-852228] |
[a1,a2,a3,a4,a6] |
Generators |
[14:540:1] |
Generators of the group modulo torsion |
j |
10149078716/5923125 |
j-invariant |
L |
6.1275380559146 |
L(r)(E,1)/r! |
Ω |
0.21666638346332 |
Real period |
R |
1.767561364525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440cv1 |
Quadratic twists by: -7 |