Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cv |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
258048000 |
Modular degree for the optimal curve |
Δ |
7.3163329958934E+28 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1052669655,-1857665714787] |
[a1,a2,a3,a4,a6] |
j |
1504126128204710322425569/853056301321290114048 |
j-invariant |
L |
2.2886335883072 |
L(r)(E,1)/r! |
Ω |
0.028607939656384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dd1 18018t1 |
Quadratic twists by: -3 -7 |