Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bb |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1252608 |
Modular degree for the optimal curve |
Δ |
-8949424533100180224 = -1 · 28 · 3 · 177 · 734 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,414299,-100763857] |
[a1,a2,a3,a4,a6] |
j |
30720222272699826176/34958689582422579 |
j-invariant |
L |
0.99705762577542 |
L(r)(E,1)/r! |
Ω |
0.12463220291351 |
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 |
14892b1 |
Quadratic twists by: -4 |