Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cs |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3.461233016656E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8276863,-9122177767] |
[a1,a2,a3,a4,a6] |
Generators |
[92298:1312967:27] |
Generators of the group modulo torsion |
j |
12991547986467765625/71708514189312 |
j-invariant |
L |
12.497850514338 |
L(r)(E,1)/r! |
Ω |
0.089038420362781 |
Real period |
R |
7.7980384842799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006q3 |
Quadratic twists by: 13 |