Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440br |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
54005432320 = 215 · 5 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73132,7612176] |
[a1,a2,a3,a4,a6] |
Generators |
[125:651:1] |
Generators of the group modulo torsion |
j |
1320067469776392/1648115 |
j-invariant |
L |
6.9868916933565 |
L(r)(E,1)/r! |
Ω |
0.94727175127514 |
Real period |
R |
1.2293008287957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bo2 34720g2 |
Quadratic twists by: -4 8 |