Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cd |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3187430400 = -1 · 210 · 3 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,320,-1700] |
[a1,a2,a3,a4,a6] |
Generators |
[6:20:1] |
Generators of the group modulo torsion |
j |
10285412/9075 |
j-invariant |
L |
6.145732738565 |
L(r)(E,1)/r! |
Ω |
0.77964364139499 |
Real period |
R |
1.970686481621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cr2 64680cz2 |
Quadratic twists by: -4 -7 |