Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638c |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-25046451847872 = -1 · 26 · 39 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6708,-116848] |
[a1,a2,a3,a4,a6] |
Generators |
[64:724:1] |
Generators of the group modulo torsion |
j |
1695802078125/1272491584 |
j-invariant |
L |
2.205037763062 |
L(r)(E,1)/r! |
Ω |
0.37558587747285 |
Real period |
R |
0.4892440263149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104bg4 52416p4 1638m2 40950cw4 |
Quadratic twists by: -4 8 -3 5 |