Atkin-Lehner |
3- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805v |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
6649626359619140625 = 38 · 512 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-637749,-151614032] |
[a1,a2,a3,a4,a6] |
Generators |
[3332:184634:1] |
Generators of the group modulo torsion |
j |
39350107738005534289/9121572509765625 |
j-invariant |
L |
8.0492627542199 |
L(r)(E,1)/r! |
Ω |
0.17176381990416 |
Real period |
R |
3.9051989908062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935d1 |
Quadratic twists by: -3 |