Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656by |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-12412530450432 = -1 · 213 · 35 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1552,-168384] |
[a1,a2,a3,a4,a6] |
Generators |
[48:120:1] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
4.0445730775687 |
L(r)(E,1)/r! |
Ω |
0.34352452288001 |
Real period |
R |
2.943438350143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582t1 2544d1 |
Quadratic twists by: -4 -7 |