Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808bm |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2852924248944 = -1 · 24 · 39 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,-83349] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1323:1] |
Generators of the group modulo torsion |
j |
-6912/77 |
j-invariant |
L |
5.334345453978 |
L(r)(E,1)/r! |
Ω |
0.3423253207444 |
Real period |
R |
0.9739174132625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616t1 38808k1 5544l1 |
Quadratic twists by: -4 -3 -7 |