Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138h |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-14890369765824 = -1 · 26 · 34 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6220,264266] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/616896 |
j-invariant |
L |
2.6038289360298 |
L(r)(E,1)/r! |
Ω |
0.65095723400745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104ca1 36414ck1 84966w1 714d1 |
Quadratic twists by: -4 -3 -7 17 |