Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285m |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
-711023314049296875 = -1 · 35 · 57 · 11 · 237 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 11+ 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,197670,-22463422] |
[a1,a2,a3,a4,a6] |
Generators |
[974:33062:1] |
Generators of the group modulo torsion |
j |
5770012921856/4803046875 |
j-invariant |
L |
1.930506755231 |
L(r)(E,1)/r! |
Ω |
0.15799399846704 |
Real period |
R |
0.43638790665707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999382521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3795a1 |
Quadratic twists by: -23 |