Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096p |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1379840 |
Modular degree for the optimal curve |
Δ |
-1.4541536192999E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,221807,578859707] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:23667:1] |
Generators of the group modulo torsion |
j |
116822144000/14076282141 |
j-invariant |
L |
6.5569331789976 |
L(r)(E,1)/r! |
Ω |
0.14090078464742 |
Real period |
R |
3.3239869536837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048s1 54096d1 |
Quadratic twists by: -4 -7 |