Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
474320000000 = 210 · 57 · 72 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8533,-304437] |
[a1,a2,a3,a4,a6] |
Generators |
[119:616:1] |
Generators of the group modulo torsion |
j |
4294967296/29645 |
j-invariant |
L |
4.5438036839418 |
L(r)(E,1)/r! |
Ω |
0.49693607447257 |
Real period |
R |
2.2859095432205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200y1 30800bw1 24640bb1 |
Quadratic twists by: -4 8 5 |