Atkin-Lehner |
3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21417n |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13680 |
Modular degree for the optimal curve |
Δ |
-1376063667 = -1 · 33 · 114 · 592 |
Discriminant |
Eigenvalues |
2 3- 2 1 11- 2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-282,2459] |
[a1,a2,a3,a4,a6] |
j |
-169996288/93987 |
j-invariant |
L |
8.473578722184 |
L(r)(E,1)/r! |
Ω |
1.412263120364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64251u1 21417p1 |
Quadratic twists by: -3 -11 |