Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800j |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-8301313440000000 = -1 · 211 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48592,1473312] |
[a1,a2,a3,a4,a6] |
Generators |
[572:14700:1] |
Generators of the group modulo torsion |
j |
68782/45 |
j-invariant |
L |
4.5623245313502 |
L(r)(E,1)/r! |
Ω |
0.25902063954901 |
Real period |
R |
0.18347655210366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400du1 11760u1 58800dh1 |
Quadratic twists by: -4 5 -7 |