Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30624a |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
236737239552 = 29 · 32 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11+ 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1640,10836] |
[a1,a2,a3,a4,a6] |
j |
953344975688/462377421 |
j-invariant |
L |
1.761386441074 |
L(r)(E,1)/r! |
Ω |
0.88069322053542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30624h2 61248ch2 91872ba2 |
Quadratic twists by: -4 8 -3 |