Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cc |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-747927425806499840 = -1 · 219 · 5 · 1111 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45999521,-120066720959] |
[a1,a2,a3,a4,a6] |
Generators |
[110496870262443:-25111292667686324:2102071041] |
Generators of the group modulo torsion |
j |
-23178622194826561/1610510 |
j-invariant |
L |
4.4438394131774 |
L(r)(E,1)/r! |
Ω |
0.028985528881173 |
Real period |
R |
19.164043165276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720l2 9680y2 3520y2 |
Quadratic twists by: -4 8 -11 |