Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800bn |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-21621775500000000 = -1 · 28 · 39 · 59 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 5 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10500,-7062500] |
[a1,a2,a3,a4,a6] |
Generators |
[3250:64125:8] |
Generators of the group modulo torsion |
j |
351232/59319 |
j-invariant |
L |
4.8165119507915 |
L(r)(E,1)/r! |
Ω |
0.18041400288243 |
Real period |
R |
3.337124525982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400bs1 15600v1 46800bu1 |
Quadratic twists by: -4 -3 5 |