Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
103317437520 = 24 · 36 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2178,-35937] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1044:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
5.3771586371427 |
L(r)(E,1)/r! |
Ω |
0.70289278547432 |
Real period |
R |
3.8250205069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560q1 9680h1 720d1 |
Quadratic twists by: -4 -3 -11 |