Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960i |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
2407449600 = 210 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,3706] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:90:1] |
Generators of the group modulo torsion |
j |
19307236/3225 |
j-invariant |
L |
6.2847371159777 |
L(r)(E,1)/r! |
Ω |
1.3858076298917 |
Real period |
R |
0.56688397621149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15480h1 123840ff1 10320h1 |
Quadratic twists by: -4 8 -3 |