Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39072l |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
-16879104 = -1 · 29 · 34 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11+ 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,-648] |
[a1,a2,a3,a4,a6] |
Generators |
[1845:1872:125] |
Generators of the group modulo torsion |
j |
-649461896/32967 |
j-invariant |
L |
7.120688670537 |
L(r)(E,1)/r! |
Ω |
0.68666633647083 |
Real period |
R |
5.184969971831 |
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 |
39072r1 78144db1 117216u1 |
Quadratic twists by: -4 8 -3 |