Atkin-Lehner |
3+ 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365b |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
21539671875 = 36 · 56 · 31 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10015,381530] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:393:1] [23:393:1] |
Generators of the group modulo torsion |
j |
111091104145845361/21539671875 |
j-invariant |
L |
4.6508259170085 |
L(r)(E,1)/r! |
Ω |
1.1739614594763 |
Real period |
R |
1.3205504262136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85095h2 |
Quadratic twists by: -3 |