Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216a |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1654848 = 26 · 32 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
131096512/25857 |
j-invariant |
L |
5.2204958621225 |
L(r)(E,1)/r! |
Ω |
1.8974322449213 |
Real period |
R |
1.3756738550469 |
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 |
21216m1 42432bb1 63648r1 |
Quadratic twists by: -4 8 -3 |