Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bb |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
9704448 = 210 · 36 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,648] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:36:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
4.3985332365196 |
L(r)(E,1)/r! |
Ω |
2.288080482499 |
Real period |
R |
0.96118411702799 |
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 |
7488cb1 468c1 832d1 97344cd1 |
Quadratic twists by: -4 8 -3 13 |