Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cd |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24666759936 = 28 · 32 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23732,1415100] |
[a1,a2,a3,a4,a6] |
j |
49081386832/819 |
j-invariant |
L |
2.1926930330103 |
L(r)(E,1)/r! |
Ω |
1.0963465165056 |
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 |
7644k2 122304hi2 91728fp2 4368v2 |
Quadratic twists by: -4 8 -3 -7 |