Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600dc |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-7.6066875494093E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7635075,9140357250] |
[a1,a2,a3,a4,a6] |
Generators |
[2721:92256:1] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
4.3489077999328 |
L(r)(E,1)/r! |
Ω |
0.1272784816504 |
Real period |
R |
0.30507540109912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950g1 111600db1 22320y1 |
Quadratic twists by: -4 -3 5 |