Atkin-Lehner |
2- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10582j |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
28704 |
Modular degree for the optimal curve |
Δ |
-95226486784 = -1 · 213 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32364,2238352] |
[a1,a2,a3,a4,a6] |
Generators |
[84:296:1] |
Generators of the group modulo torsion |
j |
-3748962776430234817/95226486784 |
j-invariant |
L |
5.489173928335 |
L(r)(E,1)/r! |
Ω |
0.99073182118665 |
Real period |
R |
0.21309709615854 |
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 |
84656j1 95238o1 116402s1 |
Quadratic twists by: -4 -3 -11 |