Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280x |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-55154400000 = -1 · 28 · 3 · 55 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8561,-307965] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:32886:1] |
Generators of the group modulo torsion |
j |
-271086547416064/215446875 |
j-invariant |
L |
7.4397944782835 |
L(r)(E,1)/r! |
Ω |
0.248149559374 |
Real period |
R |
4.9968484711522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560b1 |
Quadratic twists by: -4 |