Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32136c |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62151123013843968 = 210 · 320 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391032,-93219012] |
[a1,a2,a3,a4,a6] |
Generators |
[2703451401:-22965589790:3581577] |
Generators of the group modulo torsion |
j |
6457460581800734692/60694456068207 |
j-invariant |
L |
6.0344749928067 |
L(r)(E,1)/r! |
Ω |
0.19102612976682 |
Real period |
R |
15.794894133522 |
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 |
64272f3 96408s3 |
Quadratic twists by: -4 -3 |