Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925h |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
390475192734375 = 3 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-579250,-169925375] |
[a1,a2,a3,a4,a6] |
j |
1375634265228629281/24990412335 |
j-invariant |
L |
1.3844376669661 |
L(r)(E,1)/r! |
Ω |
0.17305470837076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bq6 1785m5 62475cf6 |
Quadratic twists by: -3 5 -7 |