Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240y |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
806675340979200 = 210 · 3 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83280,9176700] |
[a1,a2,a3,a4,a6] |
Generators |
[190:420:1] |
Generators of the group modulo torsion |
j |
62380825826921284/787768887675 |
j-invariant |
L |
4.2086680776668 |
L(r)(E,1)/r! |
Ω |
0.50447918756673 |
Real period |
R |
2.0856500037032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480z3 73920co3 27720h3 46200bh3 |
Quadratic twists by: -4 8 -3 5 |