Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886c |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1127844 = -1 · 22 · 34 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 0 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13,49] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] [0:7:1] |
Generators of the group modulo torsion |
j |
-78529/324 |
j-invariant |
L |
4.2916396315636 |
L(r)(E,1)/r! |
Ω |
2.3966707134741 |
Real period |
R |
0.44766679955628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62658u1 20886i1 |
Quadratic twists by: -3 -59 |