Atkin-Lehner |
3+ 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365a |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6382125 = 33 · 53 · 31 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 0 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-106,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[-4590:-361:1000] |
Generators of the group modulo torsion |
j |
132963364864/6382125 |
j-invariant |
L |
9.4881237593579 |
L(r)(E,1)/r! |
Ω |
1.4911549704581 |
Real period |
R |
6.3629360779602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85095q1 |
Quadratic twists by: -3 |