Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890s |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-626517763200 = -1 · 27 · 39 · 52 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4524,-122032] |
[a1,a2,a3,a4,a6] |
Generators |
[79:55:1] |
Generators of the group modulo torsion |
j |
-1516910949/92800 |
j-invariant |
L |
4.9886094147432 |
L(r)(E,1)/r! |
Ω |
0.29003382556089 |
Real period |
R |
2.150011834725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000311372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890do1 127890f1 |
Quadratic twists by: -3 -7 |