Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dn |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
970444800 = 212 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,3760] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
163840/13 |
j-invariant |
L |
4.1047690571975 |
L(r)(E,1)/r! |
Ω |
1.5302626874512 |
Real period |
R |
2.6823950494484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2925e1 5200q1 46800fp1 |
Quadratic twists by: -4 -3 5 |