Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bd |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-29002206528512000 = -1 · 213 · 53 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33336,-8533036] |
[a1,a2,a3,a4,a6] |
Generators |
[622:14552:1] |
Generators of the group modulo torsion |
j |
-8502154921/60184250 |
j-invariant |
L |
6.3708280326162 |
L(r)(E,1)/r! |
Ω |
0.1566737455654 |
Real period |
R |
5.0828778060081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330c1 9520l1 |
Quadratic twists by: -4 -7 |