Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808bp |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,1323] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
7.3191468032549 |
L(r)(E,1)/r! |
Ω |
1.0493749497901 |
Real period |
R |
0.87184599802931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bb1 38808o1 38808bq1 |
Quadratic twists by: -4 -3 -7 |