Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953q |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
14540187791493 = 310 · 77 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3- 2 7- -3 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9277,-294017] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:220:1] |
Generators of the group modulo torsion |
j |
750593769472/123589557 |
j-invariant |
L |
6.4336382226547 |
L(r)(E,1)/r! |
Ω |
0.49188999904618 |
Real period |
R |
0.65397123697724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279d1 |
Quadratic twists by: -7 |