Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144o |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5519360 |
Modular degree for the optimal curve |
Δ |
-1.0600779884696E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1996260,15627215828] |
[a1,a2,a3,a4,a6] |
Generators |
[-1274:104958:1] |
Generators of the group modulo torsion |
j |
116822144000/14076282141 |
j-invariant |
L |
4.4371534540562 |
L(r)(E,1)/r! |
Ω |
0.081349105945215 |
Real period |
R |
3.4090367377323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048s1 81144n1 |
Quadratic twists by: -3 -7 |