Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410b |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
375840 |
Modular degree for the optimal curve |
Δ |
1.3462631465606E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 0 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9563028,11364913232] |
[a1,a2,a3,a4,a6] |
Generators |
[-1350531:110576278:729] |
Generators of the group modulo torsion |
j |
229895296609/320000 |
j-invariant |
L |
4.0927776146642 |
L(r)(E,1)/r! |
Ω |
0.18425474808536 |
Real period |
R |
11.106301620971 |
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 |
67280p1 75690bm1 42050w1 8410k1 |
Quadratic twists by: -4 -3 5 29 |