Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808bq |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,-453789] |
[a1,a2,a3,a4,a6] |
Generators |
[49:343:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
3.8535517305924 |
L(r)(E,1)/r! |
Ω |
0.30697026478969 |
Real period |
R |
1.5691877083081 |
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 |
77616bc1 38808n1 38808bp1 |
Quadratic twists by: -4 -3 -7 |