Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350v |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
15456 |
Modular degree for the optimal curve |
Δ |
-5023612300 = -1 · 22 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-333,-4163] |
[a1,a2,a3,a4,a6] |
Generators |
[38:177:1] |
Generators of the group modulo torsion |
j |
-163379631865/200944492 |
j-invariant |
L |
5.8847373080714 |
L(r)(E,1)/r! |
Ω |
0.53386966308816 |
Real period |
R |
0.78734269468791 |
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 |
21350m1 |
Quadratic twists by: 5 |