Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925q |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
251015625 = 33 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8376,-295727] |
[a1,a2,a3,a4,a6] |
j |
4158523459441/16065 |
j-invariant |
L |
2.9943181991947 |
L(r)(E,1)/r! |
Ω |
0.49905303319911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bg1 1785h1 62475w1 |
Quadratic twists by: -3 5 -7 |