Atkin-Lehner |
2+ 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142h |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
6253720686 = 2 · 32 · 193 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 1 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-464,488] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:64:1] |
Generators of the group modulo torsion |
j |
1605723211/911754 |
j-invariant |
L |
6.1047095002996 |
L(r)(E,1)/r! |
Ω |
1.1522785143373 |
Real period |
R |
0.4414955111827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142l1 |
Quadratic twists by: -19 |