Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016bt |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
295192231936 = 218 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 1 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5089,135583] |
[a1,a2,a3,a4,a6] |
Generators |
[21:196:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
8.3415316508795 |
L(r)(E,1)/r! |
Ω |
0.97206904791898 |
Real period |
R |
0.85812131028523 |
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 |
30016k1 7504t1 |
Quadratic twists by: -4 8 |