Atkin-Lehner |
3+ 5+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755c |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
106850533902255 = 36 · 5 · 113 · 132 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32853,2223738] |
[a1,a2,a3,a4,a6] |
Generators |
[86:166:1] |
Generators of the group modulo torsion |
j |
3921655753149461209/106850533902255 |
j-invariant |
L |
5.2782974782036 |
L(r)(E,1)/r! |
Ω |
0.59302177103074 |
Real period |
R |
0.74172339814579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265t2 |
Quadratic twists by: -3 |