Atkin-Lehner |
5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
1825a |
Isogeny class |
Conductor |
1825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-83265625 = -1 · 56 · 732 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 -2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,95,-278] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
1.7688723964573 |
L(r)(E,1)/r! |
Ω |
1.0578036796213 |
Real period |
R |
0.83610618422625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29200h2 116800b2 16425f2 73a1 |
Quadratic twists by: -4 8 -3 5 |