Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488bk |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-5358302153600643072 = -1 · 212 · 312 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233040,119492336] |
[a1,a2,a3,a4,a6] |
j |
-468735288832000/1794484549683 |
j-invariant |
L |
3.7964544104366 |
L(r)(E,1)/r! |
Ω |
0.21091413402044 |
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 |
3843f1 20496o1 |
Quadratic twists by: -4 -3 |