Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016x |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
6 |
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] |
Generators |
[-23:112:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
7.5227811149105 |
L(r)(E,1)/r! |
Ω |
0.63145055883737 |
Real period |
R |
1.9855819825286 |
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 |
30016bf1 938c1 |
Quadratic twists by: -4 8 |