Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488z |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
3904733952 = 28 · 36 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,5042] |
[a1,a2,a3,a4,a6] |
j |
137842000/20923 |
j-invariant |
L |
1.3359318804473 |
L(r)(E,1)/r! |
Ω |
1.3359318792422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15372f1 6832f1 |
Quadratic twists by: -4 -3 |