Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016s |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
23532544 = 210 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,469] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] [-3:28:1] |
Generators of the group modulo torsion |
j |
174456832/22981 |
j-invariant |
L |
5.9156094611647 |
L(r)(E,1)/r! |
Ω |
2.0556746172172 |
Real period |
R |
0.47961623008646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bm1 1876b1 |
Quadratic twists by: -4 8 |