Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080bd |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6639360 |
Modular degree for the optimal curve |
Δ |
-9.02490556E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4197919,-3152794975] |
[a1,a2,a3,a4,a6] |
Generators |
[3369825:247220360:729] |
Generators of the group modulo torsion |
j |
249675447645677828152/275418260498046875 |
j-invariant |
L |
10.480530425497 |
L(r)(E,1)/r! |
Ω |
0.070193288647426 |
Real period |
R |
7.4654789905954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080bk1 51040h1 |
Quadratic twists by: -4 8 |