Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275c |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-250859375 = -1 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
1 1 5+ -4 -3 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-251,-1727] |
[a1,a2,a3,a4,a6] |
Generators |
[37:181:1] |
Generators of the group modulo torsion |
j |
-658489/95 |
j-invariant |
L |
4.3482008291668 |
L(r)(E,1)/r! |
Ω |
0.59525351417149 |
Real period |
R |
1.8261970416802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16055f1 80275k1 |
Quadratic twists by: 5 13 |