Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194d |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-10801664 = -1 · 29 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ -1 3 1 6 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172071,27401653] |
[a1,a2,a3,a4,a6] |
Generators |
[6429:-2516:27] |
Generators of the group modulo torsion |
j |
-1949632971691055833/37376 |
j-invariant |
L |
4.9343231264803 |
L(r)(E,1)/r! |
Ω |
1.1783618225006 |
Real period |
R |
4.1874431369593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42194k1 |
Quadratic twists by: 17 |