Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fg |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-15061903105536000 = -1 · 212 · 36 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49392,-7260624] |
[a1,a2,a3,a4,a6] |
Generators |
[173019:13841765:27] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
6.4349315702508 |
L(r)(E,1)/r! |
Ω |
0.15337274558104 |
Real period |
R |
6.9926934604884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2205l1 3920y1 35280ea1 |
Quadratic twists by: -4 -3 -7 |