Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21417l |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
93129190209 = 34 · 117 · 59 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1999,30944] |
[a1,a2,a3,a4,a6] |
Generators |
[35:47:1] |
Generators of the group modulo torsion |
j |
498677257/52569 |
j-invariant |
L |
2.8819075403299 |
L(r)(E,1)/r! |
Ω |
1.0380813272719 |
Real period |
R |
2.776186667285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64251x1 1947e1 |
Quadratic twists by: -3 -11 |