Atkin-Lehner |
17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8381b |
Isogeny class |
Conductor |
8381 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-170131748228549 = -1 · 178 · 293 |
Discriminant |
Eigenvalues |
-1 3 -1 2 -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16383,1026460] |
[a1,a2,a3,a4,a6] |
Generators |
[2748:15808:27] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
4.5844739779949 |
L(r)(E,1)/r! |
Ω |
0.53949561971901 |
Real period |
R |
4.2488519002088 |
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 |
75429t1 493b1 |
Quadratic twists by: -3 17 |