Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66368d |
Isogeny class |
Conductor |
66368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-18485346304 = -1 · 220 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -1 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,7376] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-64:1] [16:68:1] |
Generators of the group modulo torsion |
j |
-33076161/70516 |
j-invariant |
L |
10.04701661627 |
L(r)(E,1)/r! |
Ω |
1.0883121231376 |
Real period |
R |
1.1539677362165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66368a1 16592a1 |
Quadratic twists by: -4 8 |