Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cf |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63470735720448000 = 222 · 3 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8407681,9380638175] |
[a1,a2,a3,a4,a6] |
Generators |
[3639025:-2695980:2197] |
Generators of the group modulo torsion |
j |
2131200347946769/2058000 |
j-invariant |
L |
7.3597136575065 |
L(r)(E,1)/r! |
Ω |
0.29291436739079 |
Real period |
R |
6.2814549889188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ec3 1470m3 6720l3 |
Quadratic twists by: -4 8 -7 |