Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771w |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
6691200 |
Modular degree for the optimal curve |
Δ |
6.573273637658E+21 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5330596,2685996979] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:352943:8] |
Generators of the group modulo torsion |
j |
138441319673870153273344/54324575517834540261 |
j-invariant |
L |
14.783990311446 |
L(r)(E,1)/r! |
Ω |
0.12144139049567 |
Real period |
R |
0.71610386309553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771q1 |
Quadratic twists by: -11 |