Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030n |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-10354078125000000 = -1 · 26 · 38 · 512 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8107,-4886944] |
[a1,a2,a3,a4,a6] |
j |
58936078623946679/10354078125000000 |
j-invariant |
L |
2.3011130396521 |
L(r)(E,1)/r! |
Ω |
0.19175941997101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24240bc3 96960b3 9090q4 15150z4 |
Quadratic twists by: -4 8 -3 5 |