Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bj |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-255826746399744 = -1 · 210 · 36 · 136 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48422,4152611] |
[a1,a2,a3,a4,a6] |
Generators |
[83:803:1] |
Generators of the group modulo torsion |
j |
-2601311308777/53001216 |
j-invariant |
L |
9.5631032509319 |
L(r)(E,1)/r! |
Ω |
0.55336101000728 |
Real period |
R |
1.7281852313264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
426b1 |
Quadratic twists by: 13 |