Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502r |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3571200 |
Modular degree for the optimal curve |
Δ |
-513505414410165936 = -1 · 24 · 36 · 118 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279351,66539853] |
[a1,a2,a3,a4,a6] |
Generators |
[322:2985:1] |
Generators of the group modulo torsion |
j |
-1866773548297/397613744 |
j-invariant |
L |
3.3624558777437 |
L(r)(E,1)/r! |
Ω |
0.28086063303824 |
Real period |
R |
2.9929933520213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995468549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278h1 11682s1 |
Quadratic twists by: -3 -11 |