Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bz |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
554067247104 = 214 · 37 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64371,-6286030] |
[a1,a2,a3,a4,a6] |
Generators |
[295:630:1] |
Generators of the group modulo torsion |
j |
9878863930993/185556 |
j-invariant |
L |
5.1533774377898 |
L(r)(E,1)/r! |
Ω |
0.2997281134407 |
Real period |
R |
4.2983767677265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922e2 15792t2 |
Quadratic twists by: -4 -3 |