Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840es |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-128397312000 = -1 · 215 · 36 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,39152] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-72:1] |
Generators of the group modulo torsion |
j |
-38614472/5375 |
j-invariant |
L |
7.0288494234837 |
L(r)(E,1)/r! |
Ω |
1.0084306312763 |
Real period |
R |
0.87126089550364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fo1 61920cc1 13760s1 |
Quadratic twists by: -4 8 -3 |