Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ce |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
21281362266528000 = 28 · 39 · 53 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756729,-253085715] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:287:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
5.0218885827056 |
L(r)(E,1)/r! |
Ω |
0.16187359357616 |
Real period |
R |
2.5852932824062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cy1 630i1 |
Quadratic twists by: -3 13 |