Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48608h |
Isogeny class |
Conductor |
48608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2836466565632 = 29 · 78 · 312 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25104,-1537208] |
[a1,a2,a3,a4,a6] |
Generators |
[779:21266:1] |
Generators of the group modulo torsion |
j |
29047689224/47089 |
j-invariant |
L |
3.2371675588298 |
L(r)(E,1)/r! |
Ω |
0.37931906099276 |
Real period |
R |
2.1335386826982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48608k2 97216bt2 6944h2 |
Quadratic twists by: -4 8 -7 |