Atkin-Lehner |
2- 3+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336y |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1285632 |
Modular degree for the optimal curve |
Δ |
-5.989902817538E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2350024,-1434961424] |
[a1,a2,a3,a4,a6] |
Generators |
[1046180:93965184:125] |
Generators of the group modulo torsion |
j |
-350413509960208739017/14623786175629824 |
j-invariant |
L |
5.8139215971152 |
L(r)(E,1)/r! |
Ω |
0.060819331723843 |
Real period |
R |
1.9915274169069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042i1 |
Quadratic twists by: -4 |