Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400cr |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
106240 |
Modular degree for the optimal curve |
Δ |
16625000000 = 26 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5458,156912] |
[a1,a2,a3,a4,a6] |
Generators |
[52617:2320534:27] |
Generators of the group modulo torsion |
j |
143877824/133 |
j-invariant |
L |
11.998564772741 |
L(r)(E,1)/r! |
Ω |
1.2282548697253 |
Real period |
R |
9.7687907308368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400w1 106400bb1 |
Quadratic twists by: -4 5 |