Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248y |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-25956288182528 = -1 · 28 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 3 0 2 11+ -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6655,-322102] |
[a1,a2,a3,a4,a6] |
Generators |
[411210122053165644:1316444324287316147:3953605898130624] |
Generators of the group modulo torsion |
j |
-54000/43 |
j-invariant |
L |
12.981437087297 |
L(r)(E,1)/r! |
Ω |
0.25557167361495 |
Real period |
R |
25.396862069415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812b1 83248u1 |
Quadratic twists by: -4 -11 |