Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352p |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-13621540608 = -1 · 28 · 34 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,396,4860] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] [3:78:1] |
Generators of the group modulo torsion |
j |
26759139248/53209143 |
j-invariant |
L |
6.504241179818 |
L(r)(E,1)/r! |
Ω |
0.86748437468954 |
Real period |
R |
0.93722742587507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176l1 57408cg1 43056i1 |
Quadratic twists by: -4 8 -3 |