Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bi |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68685926400 = 212 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4376,112176] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:360:1] |
Generators of the group modulo torsion |
j |
2263054145689/16769025 |
j-invariant |
L |
3.7687721567679 |
L(r)(E,1)/r! |
Ω |
1.1035227354989 |
Real period |
R |
0.85380482783262 |
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 |
1365c2 87360hi2 65520ef2 109200ft2 |
Quadratic twists by: -4 8 -3 5 |