Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21960f |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9800932537082880 = -1 · 210 · 322 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38877,-3739282] |
[a1,a2,a3,a4,a6] |
Generators |
[67444659854:1268898941835:259694072] |
Generators of the group modulo torsion |
j |
8705113960316/13129249905 |
j-invariant |
L |
5.7891313313495 |
L(r)(E,1)/r! |
Ω |
0.21606784148691 |
Real period |
R |
13.396559366518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920q3 7320n4 109800bz3 |
Quadratic twists by: -4 -3 5 |