Atkin-Lehner |
3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80613o |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
84885489 = 36 · 133 · 53 |
Discriminant |
Eigenvalues |
1 3- -2 -2 6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168,755] |
[a1,a2,a3,a4,a6] |
Generators |
[26:103:1] |
Generators of the group modulo torsion |
j |
328509/53 |
j-invariant |
L |
6.1030925068276 |
L(r)(E,1)/r! |
Ω |
1.833789174376 |
Real period |
R |
3.3281320417871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8957d1 80613p1 |
Quadratic twists by: -3 13 |