Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064k |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-45911007792 = -1 · 24 · 33 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3427,76772] |
[a1,a2,a3,a4,a6] |
Generators |
[32:30:1] |
Generators of the group modulo torsion |
j |
-278274085316608/2869437987 |
j-invariant |
L |
8.2852344595784 |
L(r)(E,1)/r! |
Ω |
1.1403250497726 |
Real period |
R |
2.4218926177321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032m1 114192i1 |
Quadratic twists by: -4 -3 |