Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768g |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
278226710784 = 28 · 38 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1644,-3276] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:1155:8] |
Generators of the group modulo torsion |
j |
1920672547792/1086823089 |
j-invariant |
L |
3.3176276611301 |
L(r)(E,1)/r! |
Ω |
0.80848948415734 |
Real period |
R |
4.1034889459173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19536l2 78144w2 29304i2 107448s2 |
Quadratic twists by: -4 8 -3 -11 |