Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bd |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
8.9587872115767E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5204655,4548765357] |
[a1,a2,a3,a4,a6] |
Generators |
[999:18090:1] |
Generators of the group modulo torsion |
j |
256080427202032561/1471383926784 |
j-invariant |
L |
2.902024545577 |
L(r)(E,1)/r! |
Ω |
0.19196338294019 |
Real period |
R |
1.259799506742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882by1 119646w1 |
Quadratic twists by: -3 17 |