Atkin-Lehner |
2+ 3+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894d |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-43021494831744 = -1 · 27 · 35 · 114 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11+ 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14923,-775619] |
[a1,a2,a3,a4,a6] |
j |
-367567920009279289/43021494831744 |
j-invariant |
L |
1.2873801330964 |
L(r)(E,1)/r! |
Ω |
0.21456335551238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bz1 |
Quadratic twists by: -3 |