Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600co |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
935384208000000 = 210 · 3 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25208,-447588] |
[a1,a2,a3,a4,a6] |
Generators |
[8782:822800:1] |
Generators of the group modulo torsion |
j |
62500/33 |
j-invariant |
L |
5.5368314843525 |
L(r)(E,1)/r! |
Ω |
0.40205134183632 |
Real period |
R |
3.4428634534308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904g1 6600e1 |
Quadratic twists by: 5 -11 |