Atkin-Lehner |
2+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9010c |
Isogeny class |
Conductor |
9010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6549970723840000 = 213 · 54 · 176 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2318164,1359088848] |
[a1,a2,a3,a4,a6] |
j |
1377705172619874878690841/6549970723840000 |
j-invariant |
L |
2.2391138747484 |
L(r)(E,1)/r! |
Ω |
0.3731856457914 |
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 |
72080h2 81090be2 45050h2 |
Quadratic twists by: -4 -3 5 |