Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016bf |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1542228803584 = 226 · 73 · 67 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -4 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3585,58273] |
[a1,a2,a3,a4,a6] |
j |
19443408769/5883136 |
j-invariant |
L |
1.5708268647336 |
L(r)(E,1)/r! |
Ω |
0.78541343236825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016x1 7504r1 |
Quadratic twists by: -4 8 |