Atkin-Lehner |
3- 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807j |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
5756049 = 33 · 13 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 2 -6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-219,1224] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:42:1] |
Generators of the group modulo torsion |
j |
1161930075697/5756049 |
j-invariant |
L |
3.1998479011831 |
L(r)(E,1)/r! |
Ω |
2.4126924827467 |
Real period |
R |
0.88417067213371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421s1 |
Quadratic twists by: -3 |