Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30624g |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-129355776 = -1 · 212 · 32 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111,351] |
[a1,a2,a3,a4,a6] |
j |
36594368/31581 |
j-invariant |
L |
2.4060108576583 |
L(r)(E,1)/r! |
Ω |
1.2030054288285 |
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 |
30624k2 61248a1 91872v2 |
Quadratic twists by: -4 8 -3 |