Atkin-Lehner |
5+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255b |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225120 |
Modular degree for the optimal curve |
Δ |
-70024317146875 = -1 · 55 · 78 · 132 · 23 |
Discriminant |
Eigenvalues |
-2 0 5+ 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3773,-412372] |
[a1,a2,a3,a4,a6] |
Generators |
[107:639:1] |
Generators of the group modulo torsion |
j |
-1030385664/12146875 |
j-invariant |
L |
2.6677983329604 |
L(r)(E,1)/r! |
Ω |
0.26256599555042 |
Real period |
R |
5.0802434027378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255o1 |
Quadratic twists by: -7 |