Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42194k |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
-260725910114816 = -1 · 29 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 -6 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49728670,134972421520] |
[a1,a2,a3,a4,a6] |
Generators |
[20259026505645606:-10363359766665907:4976563168017] |
Generators of the group modulo torsion |
j |
-1949632971691055833/37376 |
j-invariant |
L |
2.1844987833376 |
L(r)(E,1)/r! |
Ω |
0.28579472113914 |
Real period |
R |
22.930781659967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42194d1 |
Quadratic twists by: 17 |