Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32960q |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-32960000000 = -1 · 212 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,-8681] |
[a1,a2,a3,a4,a6] |
Generators |
[507:620:27] |
Generators of the group modulo torsion |
j |
45118016/8046875 |
j-invariant |
L |
5.5557188402817 |
L(r)(E,1)/r! |
Ω |
0.55054025942035 |
Real period |
R |
5.0456971540385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32960n1 16480d1 |
Quadratic twists by: -4 8 |