Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bk |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
30736384 = 216 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -2 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,29407] |
[a1,a2,a3,a4,a6] |
Generators |
[21:28:1] |
Generators of the group modulo torsion |
j |
10262905636/469 |
j-invariant |
L |
6.6384197047976 |
L(r)(E,1)/r! |
Ω |
1.9647259184109 |
Real period |
R |
1.6894009598466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016o1 7504d1 |
Quadratic twists by: -4 8 |