Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840eu |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
90279360 = 26 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23223,-1362152] |
[a1,a2,a3,a4,a6] |
Generators |
[244244:6354018:343] |
Generators of the group modulo torsion |
j |
29687332481344/1935 |
j-invariant |
L |
7.3309813794478 |
L(r)(E,1)/r! |
Ω |
0.38674078626045 |
Real period |
R |
9.4779004646403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000130193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fr1 61920ce4 41280dh1 |
Quadratic twists by: -4 8 -3 |