Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410h |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
925680 |
Modular degree for the optimal curve |
Δ |
5.5142938483124E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 2 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72628918,-238193840443] |
[a1,a2,a3,a4,a6] |
j |
100709966211849/13107200 |
j-invariant |
L |
1.965210834656 |
L(r)(E,1)/r! |
Ω |
0.05171607459621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67280m1 75690r1 42050d1 8410c1 |
Quadratic twists by: -4 -3 5 29 |