Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3876a |
Isogeny class |
Conductor |
3876 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-248064 = -1 · 28 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1196,-15528] |
[a1,a2,a3,a4,a6] |
j |
-739674007504/969 |
j-invariant |
L |
1.2176647354287 |
L(r)(E,1)/r! |
Ω |
0.4058882451429 |
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 |
15504w1 62016bc1 11628c1 96900w1 |
Quadratic twists by: -4 8 -3 5 |