Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12138p |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
-18457854188886 = -1 · 2 · 33 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9110,392582] |
[a1,a2,a3,a4,a6] |
j |
-11984473/2646 |
j-invariant |
L |
1.3165494507593 |
L(r)(E,1)/r! |
Ω |
0.65827472537967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97104bt1 36414da1 84966bh1 12138b1 |
Quadratic twists by: -4 -3 -7 17 |