Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016bv |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
7684096 = 214 · 7 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7- -4 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
810448/469 |
j-invariant |
L |
5.2993867330009 |
L(r)(E,1)/r! |
Ω |
1.9798950202414 |
Real period |
R |
1.3382999297495 |
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 |
30016j1 7504m1 |
Quadratic twists by: -4 8 |