Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088i |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2851200 |
Modular degree for the optimal curve |
Δ |
3.0605851237485E+21 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6481970,5767397361] |
[a1,a2,a3,a4,a6] |
Generators |
[-1108:107653:1] |
Generators of the group modulo torsion |
j |
798345006336000/81124178863 |
j-invariant |
L |
6.5010490714193 |
L(r)(E,1)/r! |
Ω |
0.13813532214893 |
Real period |
R |
1.5687633867955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88088s1 |
Quadratic twists by: -11 |