Atkin-Lehner |
2+ 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12818a |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1848 |
Modular degree for the optimal curve |
Δ |
-51272 = -1 · 23 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ -1 2 4 -6 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19,-43] |
[a1,a2,a3,a4,a6] |
j |
-822656953/51272 |
j-invariant |
L |
1.1315700626729 |
L(r)(E,1)/r! |
Ω |
1.1315700626729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102544h1 115362s1 |
Quadratic twists by: -4 -3 |