Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077t |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-2297233765987138979 = -1 · 78 · 119 · 132 |
Discriminant |
Eigenvalues |
2 3 3 7- 11- 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1179871,498648169] |
[a1,a2,a3,a4,a6] |
Generators |
[174111762:716970455:287496] |
Generators of the group modulo torsion |
j |
-871531204608/11022011 |
j-invariant |
L |
27.484990316697 |
L(r)(E,1)/r! |
Ω |
0.2600338228576 |
Real period |
R |
13.212218902207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011s1 7007d1 |
Quadratic twists by: -7 -11 |