Atkin-Lehner |
2- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109564q |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
244985104 = 24 · 72 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -3 1 7- 3 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217,973] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:43:1] [4:13:1] |
Generators of the group modulo torsion |
j |
1441407744/312481 |
j-invariant |
L |
8.0653287873943 |
L(r)(E,1)/r! |
Ω |
1.6578010129764 |
Real period |
R |
1.216269131132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564b1 |
Quadratic twists by: -7 |