Atkin-Lehner |
5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73255p |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
93043299895 = 5 · 76 · 13 · 233 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 2 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53950,-4845660] |
[a1,a2,a3,a4,a6] |
j |
147608144916049/790855 |
j-invariant |
L |
0.31325769549454 |
L(r)(E,1)/r! |
Ω |
0.31325772537462 |
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 |
1495a1 |
Quadratic twists by: -7 |