Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bb |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-31255108092 = -1 · 22 · 313 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 1 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,729,-4055] |
[a1,a2,a3,a4,a6] |
Generators |
[20:125:1] |
Generators of the group modulo torsion |
j |
347501687/253692 |
j-invariant |
L |
5.8351811031129 |
L(r)(E,1)/r! |
Ω |
0.65794204528257 |
Real period |
R |
2.217209382077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406p1 88218cf1 |
Quadratic twists by: -3 13 |