Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840q |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-764225280 = -1 · 28 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,1340] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
35969456/2985255 |
j-invariant |
L |
5.9048814546656 |
L(r)(E,1)/r! |
Ω |
1.2215765411811 |
Real period |
R |
1.2084550692493 |
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 |
10920j1 87360fq1 65520bm1 109200l1 |
Quadratic twists by: -4 8 -3 5 |