Atkin-Lehner |
2+ 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558a |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-438826752 = -1 · 28 · 32 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-184,-1472] |
[a1,a2,a3,a4,a6] |
Generators |
[29:122:1] |
Generators of the group modulo torsion |
j |
-694800198793/438826752 |
j-invariant |
L |
3.4759578003783 |
L(r)(E,1)/r! |
Ω |
0.62969117511931 |
Real period |
R |
1.380024819198 |
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 |
100464cb1 37674p1 87906u1 |
Quadratic twists by: -4 -3 -7 |