Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dp |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7681530404489906250 = -1 · 2 · 36 · 56 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6284255,6066612497] |
[a1,a2,a3,a4,a6] |
Generators |
[960278831842970:-5421720211392601:714996632888] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
8.5086026648582 |
L(r)(E,1)/r! |
Ω |
0.22898828819962 |
Real period |
R |
18.57868525014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150f2 2574h2 |
Quadratic twists by: -3 5 |