Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420z |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-65051719920 = -1 · 24 · 33 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766,-14995] |
[a1,a2,a3,a4,a6] |
Generators |
[1369:50661:1] |
Generators of the group modulo torsion |
j |
-1755904/2295 |
j-invariant |
L |
9.3904727920548 |
L(r)(E,1)/r! |
Ω |
0.43263678281553 |
Real period |
R |
7.2350704616267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999661031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1020e1 |
Quadratic twists by: -11 |