Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077r |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-18966436588099 = -1 · 77 · 116 · 13 |
Discriminant |
Eigenvalues |
2 0 3 7- 11- 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5929,114133] |
[a1,a2,a3,a4,a6] |
Generators |
[-17556:396379:1728] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
16.298037907059 |
L(r)(E,1)/r! |
Ω |
0.44413410300004 |
Real period |
R |
4.5870261355349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011r1 637d1 |
Quadratic twists by: -7 -11 |