Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360g |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
738201600 = 212 · 34 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2376,45360] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:288:1] [10:150:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
5.8264617860189 |
L(r)(E,1)/r! |
Ω |
1.5795245832546 |
Real period |
R |
0.92218599314441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1335a1 85440bs1 64080bk1 106800bv1 |
Quadratic twists by: -4 8 -3 5 |