Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360ba |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15114240000 = 216 · 32 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31521,-2164545] |
[a1,a2,a3,a4,a6] |
Generators |
[797:21900:1] |
Generators of the group modulo torsion |
j |
52851524654884/230625 |
j-invariant |
L |
6.4488938344056 |
L(r)(E,1)/r! |
Ω |
0.35830141516857 |
Real period |
R |
4.4996290562893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bq4 4920f3 118080bw4 |
Quadratic twists by: -4 8 -3 |