Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400im |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-28162121472000000 = -1 · 214 · 314 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-290833,-61003537] |
[a1,a2,a3,a4,a6] |
j |
-10627137250000/110008287 |
j-invariant |
L |
2.876394557921 |
L(r)(E,1)/r! |
Ω |
0.10272840011424 |
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 |
110400g1 27600i1 4416p1 |
Quadratic twists by: -4 8 5 |