Atkin-Lehner |
2+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21584a |
Isogeny class |
Conductor |
21584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-2762752 = -1 · 211 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 2 0 1 0 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,608] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
-114133250/1349 |
j-invariant |
L |
7.8619643387822 |
L(r)(E,1)/r! |
Ω |
2.5615132691253 |
Real period |
R |
0.76731637832458 |
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 |
10792a1 86336o1 |
Quadratic twists by: -4 8 |