Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bw |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-330112696320000 = -1 · 225 · 33 · 54 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17137,143381] |
[a1,a2,a3,a4,a6] |
Generators |
[155:2482:1] |
Generators of the group modulo torsion |
j |
890525789458175/528180314112 |
j-invariant |
L |
6.4686773723288 |
L(r)(E,1)/r! |
Ω |
0.33022909620436 |
Real period |
R |
0.26117938302123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450x1 |
Quadratic twists by: 5 |