Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744cc |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-645331608085365504 = -1 · 28 · 37 · 177 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21192,-38631764] |
[a1,a2,a3,a4,a6] |
Generators |
[386:5202:1] |
Generators of the group modulo torsion |
j |
5639908450304/3457923997371 |
j-invariant |
L |
5.0518191477977 |
L(r)(E,1)/r! |
Ω |
0.1345924009265 |
Real period |
R |
0.33512686289101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997813729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436k1 43248y1 |
Quadratic twists by: -4 -3 |