Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190da |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
1950 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-5.6817795029286E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 5 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17724970,22142592900] |
[a1,a2,a3,a4,a6] |
Generators |
[17200:-2335730:1] |
Generators of the group modulo torsion |
j |
127591024063258622231/117712954934172000 |
j-invariant |
L |
12.777458971353 |
L(r)(E,1)/r! |
Ω |
0.060202966993823 |
Real period |
R |
0.10884086594408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630i1 |
Quadratic twists by: 13 |