Atkin-Lehner |
2- 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21402d |
Isogeny class |
Conductor |
21402 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
27200 |
Modular degree for the optimal curve |
Δ |
-122026328064 = -1 · 217 · 33 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -6 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143,16855] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:98:1] [-5:134:1] |
Generators of the group modulo torsion |
j |
-11899199187/4519493632 |
j-invariant |
L |
9.2747372512555 |
L(r)(E,1)/r! |
Ω |
0.84965811087598 |
Real period |
R |
0.16052714983303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21402a1 |
Quadratic twists by: -3 |