Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232s |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-3.3167204165529E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171459,876644802] |
[a1,a2,a3,a4,a6] |
Generators |
[3338933902:185705279126:1092727] |
Generators of the group modulo torsion |
j |
-186688297520577/111076295671808 |
j-invariant |
L |
8.6916172357966 |
L(r)(E,1)/r! |
Ω |
0.13859309264563 |
Real period |
R |
15.678301566193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12654f1 11248f1 |
Quadratic twists by: -4 -3 |