Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328x |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-577263024 = -1 · 24 · 310 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,123,-990] |
[a1,a2,a3,a4,a6] |
Generators |
[438:9180:1] |
Generators of the group modulo torsion |
j |
12758024192/36078939 |
j-invariant |
L |
7.9541636694596 |
L(r)(E,1)/r! |
Ω |
0.83949451305756 |
Real period |
R |
3.7899776809687 |
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 |
7332b1 117312bx1 87984br1 |
Quadratic twists by: -4 8 -3 |