Atkin-Lehner |
2- 3- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418s |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-378472404744 = -1 · 23 · 37 · 7 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4276,-111976] |
[a1,a2,a3,a4,a6] |
Generators |
[110:812:1] |
Generators of the group modulo torsion |
j |
-8646555821053249/378472404744 |
j-invariant |
L |
9.4121981535111 |
L(r)(E,1)/r! |
Ω |
0.29444173729216 |
Real period |
R |
0.7611011879529 |
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 |
79254r1 |
Quadratic twists by: -3 |