Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
742g |
Isogeny class |
Conductor |
742 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-2659328 = -1 · 210 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -6 5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14,75] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-33:1] |
Generators of the group modulo torsion |
j |
-304821217/2659328 |
j-invariant |
L |
2.5093311206895 |
L(r)(E,1)/r! |
Ω |
2.1897835762341 |
Real period |
R |
0.057296327087377 |
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 |
5936j1 23744q1 6678h1 18550a1 |
Quadratic twists by: -4 8 -3 5 |