Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bt |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-64751692406112 = -1 · 25 · 36 · 196 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -5 -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-258303,-50552199] |
[a1,a2,a3,a4,a6] |
Generators |
[600:2949:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
11.635053755472 |
L(r)(E,1)/r! |
Ω |
0.10588545385276 |
Real period |
R |
1.8313899814893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354c1 |
Quadratic twists by: -19 |