Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bl |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1153094656 = 210 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 0 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301,-1277] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:28:1] |
Generators of the group modulo torsion |
j |
2955053056/1126069 |
j-invariant |
L |
5.0980760512978 |
L(r)(E,1)/r! |
Ω |
1.1832423890096 |
Real period |
R |
2.1542822073696 |
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 |
30016q1 7504c1 |
Quadratic twists by: -4 8 |