Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925c |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
49369892578125 = 3 · 510 · 73 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22083,-1209682] |
[a1,a2,a3,a4,a6] |
j |
121960038400/5055477 |
j-invariant |
L |
1.177915963635 |
L(r)(E,1)/r! |
Ω |
0.392638654545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775s2 8925bb2 62475bq2 |
Quadratic twists by: -3 5 -7 |