Atkin-Lehner |
2+ 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824d |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-9488465712 = -1 · 24 · 310 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-863,11118] |
[a1,a2,a3,a4,a6] |
j |
-4447738624000/593029107 |
j-invariant |
L |
1.2542876336974 |
L(r)(E,1)/r! |
Ω |
1.254287633559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912f1 |
Quadratic twists by: -4 |