Atkin-Lehner |
5- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73255k |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-26932429671875 = -1 · 56 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -1 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39495,3014920] |
[a1,a2,a3,a4,a6] |
Generators |
[-1586:14879:8] [118:63:1] |
Generators of the group modulo torsion |
j |
-1181861087281/4671875 |
j-invariant |
L |
5.9396488241001 |
L(r)(E,1)/r! |
Ω |
0.67056433236207 |
Real period |
R |
0.49209371018367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255h1 |
Quadratic twists by: -7 |