Atkin-Lehner |
5- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255u |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-4023530875 = -1 · 53 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- -2 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,110,3056] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] |
Generators of the group modulo torsion |
j |
2976813056/82112875 |
j-invariant |
L |
1.726276512076 |
L(r)(E,1)/r! |
Ω |
1.0455681179431 |
Real period |
R |
0.13758680423081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255a1 |
Quadratic twists by: -7 |