Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cs |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-385786800 = -1 · 24 · 39 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210,1505] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-27:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
5.3950517403263 |
L(r)(E,1)/r! |
Ω |
1.5898091605333 |
Real period |
R |
0.42419020135599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cw1 88200in1 88200bl1 |
Quadratic twists by: -3 5 -7 |