Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bd |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113177250000000000 = 210 · 39 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303075,-62147250] |
[a1,a2,a3,a4,a6] |
j |
9776035692/359375 |
j-invariant |
L |
3.2629694936329 |
L(r)(E,1)/r! |
Ω |
0.203935593351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800h2 41400d2 8280c2 |
Quadratic twists by: -4 -3 5 |