Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110bk |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-204440760 = -1 · 23 · 38 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,699] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
-4826809/280440 |
j-invariant |
L |
9.6144756311493 |
L(r)(E,1)/r! |
Ω |
1.4745888554799 |
Real period |
R |
0.54334216594759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370b1 |
Quadratic twists by: -3 |