Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ce |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-8563306240477350 = -1 · 2 · 37 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107222,14254971] |
[a1,a2,a3,a4,a6] |
Generators |
[10004:67821:64] |
Generators of the group modulo torsion |
j |
-2387929/150 |
j-invariant |
L |
10.126856927566 |
L(r)(E,1)/r! |
Ω |
0.40667930903779 |
Real period |
R |
6.2253332678262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870a1 47610bs1 |
Quadratic twists by: -3 -23 |