Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646cf |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
240295568510618496 = 27 · 324 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-179906,-17459391] |
[a1,a2,a3,a4,a6] |
Generators |
[10421:1057671:1] |
Generators of the group modulo torsion |
j |
3056560671760057/1140565919616 |
j-invariant |
L |
15.001834738068 |
L(r)(E,1)/r! |
Ω |
0.23913438841497 |
Real period |
R |
2.2404967346565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999194828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882n1 119646dd1 |
Quadratic twists by: -3 17 |