Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792w |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1062186571579392 = -1 · 214 · 32 · 72 · 435 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 1 3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20693,1948941] |
[a1,a2,a3,a4,a6] |
Generators |
[92:903:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
5.5302920846255 |
L(r)(E,1)/r! |
Ω |
0.44624207929874 |
Real period |
R |
0.61965156821414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792co1 3612g1 |
Quadratic twists by: -4 8 |