Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808bk |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-107065442304 = -1 · 216 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -1 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,34128] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:108:1] |
Generators of the group modulo torsion |
j |
-530604/83 |
j-invariant |
L |
8.0366806347274 |
L(r)(E,1)/r! |
Ω |
1.0207326829639 |
Real period |
R |
1.9683607590995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808c1 11952a1 47808bf1 |
Quadratic twists by: -4 8 -3 |