Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bv |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
12208040312832 = 219 · 39 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21168,-1166400] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1600:1] |
Generators of the group modulo torsion |
j |
1515434103625/17635968 |
j-invariant |
L |
4.8287790081583 |
L(r)(E,1)/r! |
Ω |
0.39608043941935 |
Real period |
R |
3.0478524862624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098w1 56784bd1 |
Quadratic twists by: -4 13 |