Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200db |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-3857868000000 = -1 · 28 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,-101500] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-1350:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
7.2211502081363 |
L(r)(E,1)/r! |
Ω |
0.32267240528526 |
Real period |
R |
0.69934999174317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cz1 3528z1 88200bn1 |
Quadratic twists by: -3 5 -7 |