Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bm |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.1211838959747E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-667638560,5677392213794] |
[a1,a2,a3,a4,a6] |
Generators |
[-7449:3203305:1] |
Generators of the group modulo torsion |
j |
6818484108085988673456577/1060987475571276305052 |
j-invariant |
L |
7.3843821724061 |
L(r)(E,1)/r! |
Ω |
0.041263673707993 |
Real period |
R |
2.7961875690882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bd4 |
Quadratic twists by: 13 |