Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70644d |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
470072215533312 = 28 · 32 · 73 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1537628,-733366920] |
[a1,a2,a3,a4,a6] |
Generators |
[2794:129514:1] |
Generators of the group modulo torsion |
j |
2640279346000/3087 |
j-invariant |
L |
6.2827555797436 |
L(r)(E,1)/r! |
Ω |
0.13557722543383 |
Real period |
R |
2.574488270896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84a4 |
Quadratic twists by: 29 |