Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077q |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-88834276985032579 = -1 · 711 · 112 · 135 |
Discriminant |
Eigenvalues |
-1 -2 -1 7- 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66151,-15770028] |
[a1,a2,a3,a4,a6] |
Generators |
[671:15223:1] |
Generators of the group modulo torsion |
j |
-2248846192681/6240321451 |
j-invariant |
L |
1.8635179862441 |
L(r)(E,1)/r! |
Ω |
0.13804535943449 |
Real period |
R |
6.7496582145319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011g1 77077z1 |
Quadratic twists by: -7 -11 |