Atkin-Lehner |
5+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
92225b |
Isogeny class |
Conductor |
92225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
364396826171875 = 511 · 72 · 173 · 31 |
Discriminant |
Eigenvalues |
1 1 5+ 7- -2 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25376,-1257977] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:342:1] |
Generators of the group modulo torsion |
j |
115650783909361/23321396875 |
j-invariant |
L |
7.5935455112452 |
L(r)(E,1)/r! |
Ω |
0.38360936447733 |
Real period |
R |
4.9487487839985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18445b1 |
Quadratic twists by: 5 |