Atkin-Lehner |
2- 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
87516c |
Isogeny class |
Conductor |
87516 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-24955391540521728 = -1 · 28 · 36 · 115 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- -4 3 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53472,-8967580] |
[a1,a2,a3,a4,a6] |
Generators |
[352:3978:1] |
Generators of the group modulo torsion |
j |
-90601524035584/133720162147 |
j-invariant |
L |
5.559084958658 |
L(r)(E,1)/r! |
Ω |
0.14910043406261 |
Real period |
R |
1.0356712074875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9724a1 |
Quadratic twists by: -3 |