Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cc |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-45255106360800 = -1 · 25 · 311 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6552,-381024] |
[a1,a2,a3,a4,a6] |
Generators |
[105:231:1] |
Generators of the group modulo torsion |
j |
-1706927698345/2483133408 |
j-invariant |
L |
5.2568899141787 |
L(r)(E,1)/r! |
Ω |
0.25212905274513 |
Real period |
R |
1.0424998343156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950cv1 59850fv2 |
Quadratic twists by: -3 5 |