Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dg |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
157108628190412800 = 214 · 39 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264627,-48802446] |
[a1,a2,a3,a4,a6] |
j |
14348907/1100 |
j-invariant |
L |
1.6921283383969 |
L(r)(E,1)/r! |
Ω |
0.21151603881101 |
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 |
10890g1 87120ct1 7920w1 |
Quadratic twists by: -4 -3 -11 |