Atkin-Lehner |
2- 3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bs |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
33487494334414848 = 215 · 32 · 74 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2493044912,47911055037012] |
[a1,a2,a3,a4,a6] |
Generators |
[43605837:-1574764230:1331] |
Generators of the group modulo torsion |
j |
418363773366867122598323253553/8175657796488 |
j-invariant |
L |
9.609607464612 |
L(r)(E,1)/r! |
Ω |
0.13082903068154 |
Real period |
R |
9.18145557513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994724 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558n3 |
Quadratic twists by: -4 |