Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bp |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-3680343111751704 = -1 · 23 · 39 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 3 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38527,207145] |
[a1,a2,a3,a4,a6] |
Generators |
[3889:240866:1] |
Generators of the group modulo torsion |
j |
3847183317/2238728 |
j-invariant |
L |
11.11040930756 |
L(r)(E,1)/r! |
Ω |
0.2671696789557 |
Real period |
R |
1.1551553366652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646i1 119646bm1 |
Quadratic twists by: -3 17 |