Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bg |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-192548192256 = -1 · 214 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,20666] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:142:1] |
Generators of the group modulo torsion |
j |
4657463/64484 |
j-invariant |
L |
4.6007031627065 |
L(r)(E,1)/r! |
Ω |
0.74641148519335 |
Real period |
R |
3.0818812772684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5922r1 5264f1 |
Quadratic twists by: -4 -3 |