Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bs |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
13004550000 = 24 · 34 · 55 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-628,2498] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:50:1] [-11:95:1] |
Generators of the group modulo torsion |
j |
161704257169/76950000 |
j-invariant |
L |
10.294708669648 |
L(r)(E,1)/r! |
Ω |
1.1244445483519 |
Real period |
R |
0.228884311914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330cw1 |
Quadratic twists by: 13 |