Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gw |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
11858000000000 = 210 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6333,103037] |
[a1,a2,a3,a4,a6] |
Generators |
[116:957:1] |
Generators of the group modulo torsion |
j |
14047232/5929 |
j-invariant |
L |
9.6544399799766 |
L(r)(E,1)/r! |
Ω |
0.64580613655413 |
Real period |
R |
3.7373599196734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dt1 30800s1 123200hm1 |
Quadratic twists by: -4 8 5 |