Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200g |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
4090500000000 = 28 · 34 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105508,-13155488] |
[a1,a2,a3,a4,a6] |
Generators |
[532:9000:1] [901:24948:1] |
Generators of the group modulo torsion |
j |
32473119372496/1022625 |
j-invariant |
L |
10.660901210787 |
L(r)(E,1)/r! |
Ω |
0.26489800320189 |
Real period |
R |
10.061326513201 |
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 |
60600bc1 24240m1 |
Quadratic twists by: -4 5 |