Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488ba |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-18241167657024 = -1 · 26 · 310 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,-261740] |
[a1,a2,a3,a4,a6] |
Generators |
[2640:135590:1] |
Generators of the group modulo torsion |
j |
-420526439488/390971529 |
j-invariant |
L |
4.5877943666661 |
L(r)(E,1)/r! |
Ω |
0.26554981302168 |
Real period |
R |
5.7588622318624 |
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 |
7488z1 3744d2 2496o1 97344ce1 |
Quadratic twists by: -4 8 -3 13 |