Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800go |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-990000000000 = -1 · 210 · 32 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2467,-7437] |
[a1,a2,a3,a4,a6] |
Generators |
[19:216:1] |
Generators of the group modulo torsion |
j |
103737344/61875 |
j-invariant |
L |
5.837230363156 |
L(r)(E,1)/r! |
Ω |
0.51304385280346 |
Real period |
R |
2.8444110241829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bi1 13200m1 10560bk1 |
Quadratic twists by: -4 8 5 |