Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792co |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
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 |
[2565310:28386939:10648] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
7.9971890978515 |
L(r)(E,1)/r! |
Ω |
0.19087049623369 |
Real period |
R |
10.474627110718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792w1 14448n1 |
Quadratic twists by: -4 8 |