Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328r |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-30752636928 = -1 · 224 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,720,-3756] |
[a1,a2,a3,a4,a6] |
Generators |
[20:138:1] |
Generators of the group modulo torsion |
j |
10063705679/7507968 |
j-invariant |
L |
3.9130799639248 |
L(r)(E,1)/r! |
Ω |
0.65703517506624 |
Real period |
R |
2.9778314102668 |
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 |
3666l1 117312ch1 87984bj1 |
Quadratic twists by: -4 8 -3 |