Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200g |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2367187500000000000 = -1 · 211 · 3 · 518 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192992,-66507488] |
[a1,a2,a3,a4,a6] |
Generators |
[378:7766:1] [2373:117254:1] |
Generators of the group modulo torsion |
j |
24842162817358/73974609375 |
j-invariant |
L |
10.660901210787 |
L(r)(E,1)/r! |
Ω |
0.13244900160094 |
Real period |
R |
40.245306052802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600bc3 24240m3 |
Quadratic twists by: -4 5 |