Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462p |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-126904806 = -1 · 2 · 35 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-180,-1088] |
[a1,a2,a3,a4,a6] |
Generators |
[26:96:1] |
Generators of the group modulo torsion |
j |
-13057865737/2589894 |
j-invariant |
L |
3.2528305785954 |
L(r)(E,1)/r! |
Ω |
0.64523964391497 |
Real period |
R |
0.50412751436954 |
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 |
64386bw1 21462a1 |
Quadratic twists by: -3 -7 |