Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540d |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
856234962000 = 24 · 34 · 53 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4141,-91034] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:99:1] |
Generators of the group modulo torsion |
j |
490935337222144/53514685125 |
j-invariant |
L |
3.3253429967005 |
L(r)(E,1)/r! |
Ω |
0.59934123066165 |
Real period |
R |
0.46236084256341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bu1 37620j1 62700bc1 |
Quadratic twists by: -4 -3 5 |