Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600db |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
-5.5452752235194E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 1 4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68715675,-246789645750] |
[a1,a2,a3,a4,a6] |
Generators |
[159570:20108925:8] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
5.7078286823626 |
L(r)(E,1)/r! |
Ω |
0.025996999139022 |
Real period |
R |
1.9603322543323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bw1 111600dc1 22320be1 |
Quadratic twists by: -4 -3 5 |