Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129254400 |
Modular degree for the optimal curve |
Δ |
-4.8902151224025E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16685377542,-829632396423884] |
[a1,a2,a3,a4,a6] |
Generators |
[10326140680560566267849564033118261249921624049879:32242282504414268509387336875045445573748789315737723:1058636552401880593428958718796022481891711] |
Generators of the group modulo torsion |
j |
-45100802713464654722769650329/4293192974400000000000 |
j-invariant |
L |
3.9204093396424 |
L(r)(E,1)/r! |
Ω |
0.006641758331621 |
Real period |
R |
73.783348171853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cg1 16830cm1 |
Quadratic twists by: -3 5 |