Atkin-Lehner |
3- 7- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111069f |
Isogeny class |
Conductor |
111069 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
2707973289 = 36 · 72 · 41 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-506,-3464] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:34:1] [-8:8:1] |
Generators of the group modulo torsion |
j |
19617462873/3714641 |
j-invariant |
L |
5.95128422586 |
L(r)(E,1)/r! |
Ω |
1.0199785065635 |
Real period |
R |
2.9173576641265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12341b1 |
Quadratic twists by: -3 |