Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120u |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-40024833750000 = -1 · 24 · 37 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152823,22996897] |
[a1,a2,a3,a4,a6] |
Generators |
[224:63:1] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
6.3151288883831 |
L(r)(E,1)/r! |
Ω |
0.61888613355903 |
Real period |
R |
2.5510059702239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bs1 29040bh1 87120w1 |
Quadratic twists by: -4 -3 -11 |