Atkin-Lehner |
3- 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805n |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
648402361425 = 37 · 52 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2363,-20694] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:156:1] |
Generators of the group modulo torsion |
j |
2000852317801/889440825 |
j-invariant |
L |
4.1290061946219 |
L(r)(E,1)/r! |
Ω |
0.713604400251 |
Real period |
R |
2.8930638559697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935j1 |
Quadratic twists by: -3 |