Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808r |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-866214817776 = -1 · 24 · 315 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,5047] |
[a1,a2,a3,a4,a6] |
Generators |
[71:729:1] |
Generators of the group modulo torsion |
j |
369381632/216513 |
j-invariant |
L |
6.0912595368492 |
L(r)(E,1)/r! |
Ω |
0.53873319915994 |
Real period |
R |
0.7066646749201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616cc1 12936z1 38808s1 |
Quadratic twists by: -4 -3 -7 |