Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898h |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
621041901280372 = 22 · 114 · 139 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 11- 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-419631,-104656290] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:264:1] [846:11660:1] |
Generators of the group modulo torsion |
j |
115636266625/8788 |
j-invariant |
L |
7.5590555946843 |
L(r)(E,1)/r! |
Ω |
0.18757923832961 |
Real period |
R |
1.6790805452843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bh2 3146o2 |
Quadratic twists by: -11 13 |