Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446ck |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-31741705636324992 = -1 · 27 · 35 · 79 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128332,-19715347] |
[a1,a2,a3,a4,a6] |
Generators |
[1441:52101:1] |
Generators of the group modulo torsion |
j |
-5792238705079/786589056 |
j-invariant |
L |
10.001359659959 |
L(r)(E,1)/r! |
Ω |
0.12517488474551 |
Real period |
R |
1.9023593385394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446dd1 |
Quadratic twists by: -7 |