Atkin-Lehner |
2+ 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126072k |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5902438896 = -1 · 24 · 36 · 173 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,-3321] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-153:1] [15:63:1] |
Generators of the group modulo torsion |
j |
168576768/506039 |
j-invariant |
L |
8.8056242648094 |
L(r)(E,1)/r! |
Ω |
0.6899922286467 |
Real period |
R |
0.53174658507697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999992401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14008b1 |
Quadratic twists by: -3 |