Atkin-Lehner |
2+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784b |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
227200 |
Modular degree for the optimal curve |
Δ |
409307379746048 = 28 · 75 · 175 · 67 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 3 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144884,-21204188] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:102:1] |
Generators of the group modulo torsion |
j |
1313847713577212928/1598856952133 |
j-invariant |
L |
7.4212561114002 |
L(r)(E,1)/r! |
Ω |
0.24472378585086 |
Real period |
R |
1.5162514926264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568o1 |
Quadratic twists by: -4 |