Atkin-Lehner |
2+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
43168d |
Isogeny class |
Conductor |
43168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9280 |
Modular degree for the optimal curve |
Δ |
-49038848 = -1 · 29 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 -6 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[28:142:1] |
Generators of the group modulo torsion |
j |
-3112136/95779 |
j-invariant |
L |
2.2860692778772 |
L(r)(E,1)/r! |
Ω |
0.87319190849638 |
Real period |
R |
0.6545151345425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43168a1 86336m1 |
Quadratic twists by: -4 8 |