Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048s |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
17656123392 = 212 · 310 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:72:1] |
Generators of the group modulo torsion |
j |
10648000/5913 |
j-invariant |
L |
5.123749533037 |
L(r)(E,1)/r! |
Ω |
1.009756364489 |
Real period |
R |
1.2685608413155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048r1 21024l1 14016k1 |
Quadratic twists by: -4 8 -3 |