Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410a |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-168200 = -1 · 23 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -3 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
198911/200 |
j-invariant |
L |
2.1266665588269 |
L(r)(E,1)/r! |
Ω |
1.7518292014474 |
Real period |
R |
0.60698456135729 |
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 |
67280o1 75690bn1 42050s1 8410j1 |
Quadratic twists by: -4 -3 5 29 |