Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120be |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
3499594692941445120 = 211 · 313 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5793843,5367068498] |
[a1,a2,a3,a4,a6] |
Generators |
[847:32670:1] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
5.8923549921711 |
L(r)(E,1)/r! |
Ω |
0.2420890704476 |
Real period |
R |
2.0283013242371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560p1 29040r1 87120bf1 |
Quadratic twists by: -4 -3 -11 |