Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792y |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
2934676507890548736 = 223 · 319 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-411041,-58983903] |
[a1,a2,a3,a4,a6] |
Generators |
[-25997273:205872772:50653] |
Generators of the group modulo torsion |
j |
29298155334152041/11194902450144 |
j-invariant |
L |
5.0917777633207 |
L(r)(E,1)/r! |
Ω |
0.19472497305414 |
Real period |
R |
13.07428031299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792cp1 1806e1 |
Quadratic twists by: -4 8 |