Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286co |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5203426444296192 = -1 · 214 · 36 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15205,3390923] |
[a1,a2,a3,a4,a6] |
Generators |
[79:2214:1] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
7.7739795769055 |
L(r)(E,1)/r! |
Ω |
0.31864641923421 |
Real period |
R |
0.87131726888338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254a1 2898t1 |
Quadratic twists by: -3 -7 |