Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560ca |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.66201875E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645685,651833917] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:28125:1] |
Generators of the group modulo torsion |
j |
-7268194302015471616/40576629638671875 |
j-invariant |
L |
6.3953081804654 |
L(r)(E,1)/r! |
Ω |
0.15683278171477 |
Real period |
R |
0.63715435891572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7035i1 |
Quadratic twists by: -4 |