Atkin-Lehner |
2+ 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470z |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
72732178125000 = 23 · 35 · 58 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196068,33397306] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:8082:1] |
Generators of the group modulo torsion |
j |
833567329054697870521/72732178125000 |
j-invariant |
L |
4.4802838402672 |
L(r)(E,1)/r! |
Ω |
0.58693614211858 |
Real period |
R |
0.38166706041432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410w2 |
Quadratic twists by: -3 |