Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462l |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-511096068 = -1 · 22 · 36 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271,2006] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:50:1] |
Generators of the group modulo torsion |
j |
-911871625/212868 |
j-invariant |
L |
4.8579064920114 |
L(r)(E,1)/r! |
Ω |
1.5758406097912 |
Real period |
R |
0.77068493822087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64386bh1 21462d1 |
Quadratic twists by: -3 -7 |