Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656cl |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
435111306649141248 = 218 · 34 · 72 · 535 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -5 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-784576,265858048] |
[a1,a2,a3,a4,a6] |
Generators |
[352:5760:1] |
Generators of the group modulo torsion |
j |
266117414136988561/2167925435712 |
j-invariant |
L |
6.3307383617779 |
L(r)(E,1)/r! |
Ω |
0.29915689015383 |
Real period |
R |
2.6452417852804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998614102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582w1 124656dc1 |
Quadratic twists by: -4 -7 |