Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dj |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-1458024057000 = -1 · 23 · 36 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,60099] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:261:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
10.357973104811 |
L(r)(E,1)/r! |
Ω |
0.7264705267144 |
Real period |
R |
0.7921077718207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330e1 1530m1 |
Quadratic twists by: -3 -7 |