Atkin-Lehner |
2+ 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906o |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2978511262272 = 26 · 33 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7327,226034] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:596:1] |
Generators of the group modulo torsion |
j |
369682454233/25316928 |
j-invariant |
L |
4.0114861573365 |
L(r)(E,1)/r! |
Ω |
0.78652119281413 |
Real period |
R |
0.85004832876271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558b1 |
Quadratic twists by: -7 |