Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344ed |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-854951367306276864 = -1 · 212 · 39 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,237276,0] |
[a1,a2,a3,a4,a6] |
Generators |
[49204044:2201810580:389017] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.4385831151189 |
L(r)(E,1)/r! |
Ω |
0.1680133398326 |
Real period |
R |
12.556418328736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ed2 48672h1 97344eg2 97344ef2 |
Quadratic twists by: -4 8 -3 13 |