Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bi |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3161531756250 = -1 · 2 · 36 · 55 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3666,3590] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-398:1] |
Generators of the group modulo torsion |
j |
3112538751/1806250 |
j-invariant |
L |
5.4347602036653 |
L(r)(E,1)/r! |
Ω |
0.47977759931301 |
Real period |
R |
0.5663832796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330q1 74970y1 |
Quadratic twists by: -3 -7 |