Atkin-Lehner |
2- 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906w |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
-897905063484 = -1 · 22 · 33 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2369,-63027] |
[a1,a2,a3,a4,a6] |
Generators |
[7006:203403:8] |
Generators of the group modulo torsion |
j |
-54435629883699/33255743092 |
j-invariant |
L |
11.889261774794 |
L(r)(E,1)/r! |
Ω |
0.33290687244798 |
Real period |
R |
2.9761230438948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906a1 |
Quadratic twists by: -3 |