Atkin-Lehner |
2- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21080i |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-1012894000 = -1 · 24 · 53 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 2 5- -3 5 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14575,682152] |
[a1,a2,a3,a4,a6] |
Generators |
[69:15:1] |
Generators of the group modulo torsion |
j |
-21402239350061056/63305875 |
j-invariant |
L |
7.3032758644899 |
L(r)(E,1)/r! |
Ω |
1.3580933138502 |
Real period |
R |
0.89626583951793 |
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 |
42160i1 105400f1 |
Quadratic twists by: -4 5 |