Atkin-Lehner |
2+ 3+ 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890j |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
696663375000 = 23 · 3 · 56 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282827,57775749] |
[a1,a2,a3,a4,a6] |
Generators |
[363:1581:1] |
Generators of the group modulo torsion |
j |
2502008104537774530361/696663375000 |
j-invariant |
L |
3.3339943138625 |
L(r)(E,1)/r! |
Ω |
0.72493276785745 |
Real period |
R |
0.76650655566265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bs2 |
Quadratic twists by: -3 |