Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824n |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-630161926912 = -1 · 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -2 0 7- -6 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1307,-33153] |
[a1,a2,a3,a4,a6] |
Generators |
[23:98:1] |
Generators of the group modulo torsion |
j |
8192000/20923 |
j-invariant |
L |
2.4939467848815 |
L(r)(E,1)/r! |
Ω |
0.47063090944933 |
Real period |
R |
1.3247890941706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956e1 6832h1 |
Quadratic twists by: -4 -7 |