Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400n |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2884201250000 = 24 · 57 · 74 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99783,-12165062] |
[a1,a2,a3,a4,a6] |
j |
439498833516544/11536805 |
j-invariant |
L |
1.0744735473577 |
L(r)(E,1)/r! |
Ω |
0.26861838689956 |
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 |
86800r1 8680f1 |
Quadratic twists by: -4 5 |