Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484m |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
2689483764674304 = 28 · 35 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11609004,15220543716] |
[a1,a2,a3,a4,a6] |
Generators |
[1980:-1014:1] [3816:162798:1] |
Generators of the group modulo torsion |
j |
140025958089256528/2176551 |
j-invariant |
L |
13.112837899088 |
L(r)(E,1)/r! |
Ω |
0.32396615096693 |
Real period |
R |
2.6983967018939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268f2 |
Quadratic twists by: 13 |