Atkin-Lehner |
2- 3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906v |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-13591293528384 = -1 · 26 · 39 · 112 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11+ 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85673,-9632087] |
[a1,a2,a3,a4,a6] |
Generators |
[571:-11572:1] |
Generators of the group modulo torsion |
j |
-3533129790478443/690509248 |
j-invariant |
L |
8.7628358330549 |
L(r)(E,1)/r! |
Ω |
0.13952559053049 |
Real period |
R |
0.8722848100792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906f1 |
Quadratic twists by: -3 |