Atkin-Lehner |
3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126243f |
Isogeny class |
Conductor |
126243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7902720 |
Modular degree for the optimal curve |
Δ |
-1.4911986211795E+21 |
Discriminant |
Eigenvalues |
1 3+ -3 0 5 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7596666,-8268517087] |
[a1,a2,a3,a4,a6] |
j |
-372022291354190931/11442254823467 |
j-invariant |
L |
1.6339178938258 |
L(r)(E,1)/r! |
Ω |
0.045386585062408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126243b1 9711a1 |
Quadratic twists by: -3 13 |