Atkin-Lehner |
2- 3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bt |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-360548390811619296 = -1 · 25 · 36 · 117 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,177721,-1777121] |
[a1,a2,a3,a4,a6] |
Generators |
[4153:266906:1] |
Generators of the group modulo torsion |
j |
851558953435614423/494579411264224 |
j-invariant |
L |
8.9116684070838 |
L(r)(E,1)/r! |
Ω |
0.17912715493014 |
Real period |
R |
0.11845360978602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434d1 |
Quadratic twists by: -3 |