Atkin-Lehner |
3- 11+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
30459a |
Isogeny class |
Conductor |
30459 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
2181695240082350421 = 314 · 113 · 136 · 71 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403905,68607691] |
[a1,a2,a3,a4,a6] |
j |
7287185999283649640713/2181695240082350421 |
j-invariant |
L |
1.6901685952138 |
L(r)(E,1)/r! |
Ω |
0.24145265645914 |
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 |
91377f2 |
Quadratic twists by: -3 |