Atkin-Lehner |
3+ 5- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365f |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16221234375 = 32 · 56 · 31 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-615197,-185981166] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:19586:1] |
Generators of the group modulo torsion |
j |
25749419464321251191641/16221234375 |
j-invariant |
L |
5.0319319697085 |
L(r)(E,1)/r! |
Ω |
0.17046919508889 |
Real period |
R |
4.9196884390019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85095o2 |
Quadratic twists by: -3 |