Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
21417i |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-3756210671763 = -1 · 33 · 119 · 59 |
Discriminant |
Eigenvalues |
0 3- -2 2 11+ -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3549,-124954] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:19961:8] |
Generators of the group modulo torsion |
j |
-2097152/1593 |
j-invariant |
L |
4.4757972515018 |
L(r)(E,1)/r! |
Ω |
0.29940871595297 |
Real period |
R |
2.4914645727976 |
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 |
64251i1 21417j1 |
Quadratic twists by: -3 -11 |