Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376q |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
245597184 = 210 · 36 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-12350] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:4:1] |
Generators of the group modulo torsion |
j |
153091012/329 |
j-invariant |
L |
3.6060236771879 |
L(r)(E,1)/r! |
Ω |
0.84677463692595 |
Real period |
R |
2.1292700087713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688s1 5264d1 |
Quadratic twists by: -4 -3 |