Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4214b |
Isogeny class |
Conductor |
4214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-11144403346915328 = -1 · 217 · 711 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 5 -2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1105662,-447608976] |
[a1,a2,a3,a4,a6] |
Generators |
[13434432:1335367888:1331] |
Generators of the group modulo torsion |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
2.8549248412356 |
L(r)(E,1)/r! |
Ω |
0.073614279795953 |
Real period |
R |
9.6955538013448 |
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 |
33712k1 37926bx1 105350ch1 602b1 |
Quadratic twists by: -4 -3 5 -7 |