Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918c |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4454979888508393824 = 25 · 33 · 1910 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585348,-139137680] |
[a1,a2,a3,a4,a6] |
Generators |
[-23916:346429:64] |
Generators of the group modulo torsion |
j |
821490946909733064411/164999255129940512 |
j-invariant |
L |
3.225751352862 |
L(r)(E,1)/r! |
Ω |
0.17502940158691 |
Real period |
R |
9.2148842526328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79344t2 9918k2 |
Quadratic twists by: -4 -3 |