Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bh |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-5750784 = -1 · 214 · 33 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
4.3441714914958 |
L(r)(E,1)/r! |
Ω |
1.2950333601161 |
Real period |
R |
1.6772430831845 |
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 |
7488e1 1872b1 7488bj1 97344dx1 |
Quadratic twists by: -4 8 -3 13 |