Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cl |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.250878740316E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-909792246,7710957082440] |
[a1,a2,a3,a4,a6] |
Generators |
[80724420:-38890694940:343] |
Generators of the group modulo torsion |
j |
83281857964138435657921635436129/22508787403160157757710937500 |
j-invariant |
L |
10.270291946166 |
L(r)(E,1)/r! |
Ω |
0.035562974776125 |
Real period |
R |
8.0219916694066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cb4 |
Quadratic twists by: -3 |