Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240y |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
50620379040000 = 28 · 32 · 54 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9780,-143100] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:440:1] |
Generators of the group modulo torsion |
j |
404151985581136/197735855625 |
j-invariant |
L |
4.2086680776668 |
L(r)(E,1)/r! |
Ω |
0.50447918756673 |
Real period |
R |
1.0428250018516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
18480z2 73920co2 27720h2 46200bh2 |
Quadratic twists by: -4 8 -3 5 |