Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dl |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-33522301008000 = -1 · 27 · 38 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1512,-279104] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1162:1] |
Generators of the group modulo torsion |
j |
-4196653397/367871616 |
j-invariant |
L |
5.010391328914 |
L(r)(E,1)/r! |
Ω |
0.28959040473908 |
Real period |
R |
0.86508241410563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950co1 59850gf1 |
Quadratic twists by: -3 5 |