Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600x |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-876000000000 = -1 · 211 · 3 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-64812] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1500:1] |
Generators of the group modulo torsion |
j |
-48275138/27375 |
j-invariant |
L |
5.8390247798028 |
L(r)(E,1)/r! |
Ω |
0.33204277977731 |
Real period |
R |
1.0990723814308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800h1 17520b1 |
Quadratic twists by: -4 5 |