Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658a |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122304 |
Modular degree for the optimal curve |
Δ |
-358275095441536 = -1 · 27 · 78 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 4 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13155,-700360] |
[a1,a2,a3,a4,a6] |
Generators |
[344:6503:1] |
Generators of the group modulo torsion |
j |
43677664247/62148736 |
j-invariant |
L |
1.9733297031962 |
L(r)(E,1)/r! |
Ω |
0.2856390487817 |
Real period |
R |
3.4542365821703 |
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 |
21658n1 |
Quadratic twists by: -7 |