Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800k |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-62259850800 = -1 · 24 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1143,-18738] |
[a1,a2,a3,a4,a6] |
Generators |
[83770:2164142:125] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
3.931212390711 |
L(r)(E,1)/r! |
Ω |
0.40295567878805 |
Real period |
R |
9.7559423969462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dv1 58800eb1 58800dk1 |
Quadratic twists by: -4 5 -7 |