Atkin-Lehner |
2- 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cs |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1092012840000 = 26 · 39 · 54 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6422,-189979] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:79:1] |
Generators of the group modulo torsion |
j |
40173871540249/1497960000 |
j-invariant |
L |
12.118573513718 |
L(r)(E,1)/r! |
Ω |
0.53454301038707 |
Real period |
R |
0.94462101923604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610o1 |
Quadratic twists by: -3 |