Atkin-Lehner |
2+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240b |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83840 |
Modular degree for the optimal curve |
Δ |
-85484800000 = -1 · 211 · 55 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9216,-343916] |
[a1,a2,a3,a4,a6] |
j |
-42273507280898/41740625 |
j-invariant |
L |
1.9489212423235 |
L(r)(E,1)/r! |
Ω |
0.2436151553979 |
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 |
28120e1 |
Quadratic twists by: -4 |