Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525t |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9099371337890625 = 32 · 514 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-193276,-32397427] |
[a1,a2,a3,a4,a6] |
j |
51101569963777969/582359765625 |
j-invariant |
L |
4.1013512864577 |
L(r)(E,1)/r! |
Ω |
0.22785284924779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91575be2 6105b2 |
Quadratic twists by: -3 5 |