Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640w |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
23703655449600 = 210 · 36 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9080,-239772] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:180:1] |
Generators of the group modulo torsion |
j |
80859142234084/23148101025 |
j-invariant |
L |
7.3925389492801 |
L(r)(E,1)/r! |
Ω |
0.49973720259101 |
Real period |
R |
1.2327377454506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320s2 115920r2 |
Quadratic twists by: -4 -3 |