Atkin-Lehner |
2- 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050s |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
8738826080000 = 28 · 54 · 233 · 672 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5213,-27983] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:149:1] [-48:359:1] |
Generators of the group modulo torsion |
j |
25067560768225/13982121728 |
j-invariant |
L |
10.856270910264 |
L(r)(E,1)/r! |
Ω |
0.60305733746913 |
Real period |
R |
0.12501426568682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050b1 |
Quadratic twists by: 5 |