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 |
Δ |
-138886189940736 = -1 · 218 · 36 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4539,-579094] |
[a1,a2,a3,a4,a6] |
Generators |
[20663:2970214:1] |
Generators of the group modulo torsion |
j |
-3463512697/46512704 |
j-invariant |
L |
4.6007031627065 |
L(r)(E,1)/r! |
Ω |
0.24880382839778 |
Real period |
R |
9.2456438318052 |
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 |
5922r2 5264f2 |
Quadratic twists by: -4 -3 |