Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120p |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
127449000000 = 26 · 32 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4970,135432] |
[a1,a2,a3,a4,a6] |
Generators |
[4:340:1] |
Generators of the group modulo torsion |
j |
212177967361984/1991390625 |
j-invariant |
L |
6.3227039143959 |
L(r)(E,1)/r! |
Ω |
1.0475560450472 |
Real period |
R |
1.0059452099867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120cg1 114240dm2 |
Quadratic twists by: -4 8 |