Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008i |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-56805632 = -1 · 28 · 133 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 -2 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52,316] |
[a1,a2,a3,a4,a6] |
Generators |
[5:26:1] |
Generators of the group modulo torsion |
j |
59582000/221897 |
j-invariant |
L |
3.6326463195024 |
L(r)(E,1)/r! |
Ω |
1.4103332469615 |
Real period |
R |
0.85857871471836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5252b1 84032q1 |
Quadratic twists by: -4 8 |