Atkin-Lehner |
2+ 3+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906d |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-6569833369574052864 = -1 · 210 · 33 · 112 · 133 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41925,-123354283] |
[a1,a2,a3,a4,a6] |
Generators |
[1274:-44109:1] |
Generators of the group modulo torsion |
j |
-301845696683871627/243327161836076032 |
j-invariant |
L |
3.950892889797 |
L(r)(E,1)/r! |
Ω |
0.10696886267115 |
Real period |
R |
0.21985107623818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906z1 |
Quadratic twists by: -3 |