Atkin-Lehner |
2- 3- 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bj |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
16143839136000 = 28 · 39 · 53 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45842,-3761391] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:131:1] |
Generators of the group modulo torsion |
j |
14614298465502169/22145184000 |
j-invariant |
L |
14.402358146469 |
L(r)(E,1)/r! |
Ω |
0.32630515056851 |
Real period |
R |
1.839070742603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470b1 |
Quadratic twists by: -3 |