Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605k |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
420843274236225 = 38 · 52 · 376 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61862,-5823876] |
[a1,a2,a3,a4,a6] |
Generators |
[-46228:-55119:343] |
Generators of the group modulo torsion |
j |
13997521/225 |
j-invariant |
L |
4.5313316613739 |
L(r)(E,1)/r! |
Ω |
0.30301721365882 |
Real period |
R |
7.4770202109357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995519 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20535a2 45a2 |
Quadratic twists by: -3 37 |