Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376cb |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3739953917952 = 212 · 310 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4107,-40070] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:94:1] |
Generators of the group modulo torsion |
j |
2565726409/1252503 |
j-invariant |
L |
4.356561419544 |
L(r)(E,1)/r! |
Ω |
0.62654093528324 |
Real period |
R |
1.7383386999126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2961f2 15792bi2 |
Quadratic twists by: -4 -3 |