Atkin-Lehner |
2- 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900w |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2845440 |
Modular degree for the optimal curve |
Δ |
-8031402112500000000 = -1 · 28 · 313 · 511 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1876908,998443188] |
[a1,a2,a3,a4,a6] |
j |
-182807036554943824/2007850528125 |
j-invariant |
L |
6.0952181758294 |
L(r)(E,1)/r! |
Ω |
0.23443147186979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180a1 |
Quadratic twists by: 5 |