Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bk |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2120476501647360000 = -1 · 216 · 38 · 54 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100083,-71112782] |
[a1,a2,a3,a4,a6] |
Generators |
[13099239441:203675393350:21717639] |
Generators of the group modulo torsion |
j |
-37129335824881/710143290000 |
j-invariant |
L |
5.301402712408 |
L(r)(E,1)/r! |
Ω |
0.11238534527605 |
Real period |
R |
11.792913701036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770g4 12720bk4 |
Quadratic twists by: -4 -3 |