Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760c |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-239754240 = -1 · 210 · 32 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-740] |
[a1,a2,a3,a4,a6] |
Generators |
[21:88:1] |
Generators of the group modulo torsion |
j |
-470596/234135 |
j-invariant |
L |
3.3073172931595 |
L(r)(E,1)/r! |
Ω |
0.79019020940223 |
Real period |
R |
2.0927349225256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520r1 |
Quadratic twists by: -4 |