Atkin-Lehner |
2+ 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798a |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3763117851848064 = 27 · 37 · 232 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1490576,699826560] |
[a1,a2,a3,a4,a6] |
Generators |
[543:6864:1] [685:545:1] |
Generators of the group modulo torsion |
j |
366257511488449409310217/3763117851848064 |
j-invariant |
L |
3.4882083586751 |
L(r)(E,1)/r! |
Ω |
0.39998888951509 |
Real period |
R |
4.3603815632266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384ba2 29394l2 |
Quadratic twists by: -4 -3 |