Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054z |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-299096232812586 = -1 · 2 · 37 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 11- -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5387,843635] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:8167:8] |
Generators of the group modulo torsion |
j |
-9759185353/168832026 |
j-invariant |
L |
4.182469575109 |
L(r)(E,1)/r! |
Ω |
0.4605500005157 |
Real period |
R |
2.2703667193712 |
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 |
63162bb1 1914c1 |
Quadratic twists by: -3 -11 |