Atkin-Lehner |
3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21285a |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
60672 |
Modular degree for the optimal curve |
Δ |
265596890625 = 33 · 56 · 114 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39473,-3008544] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:62:1] |
Generators of the group modulo torsion |
j |
251912685129770547/9836921875 |
j-invariant |
L |
1.5764706400477 |
L(r)(E,1)/r! |
Ω |
0.33870873599444 |
Real period |
R |
1.163588706547 |
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 |
21285b1 106425d1 |
Quadratic twists by: -3 5 |