Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960cd |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1.272491584E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-596640,-246623488] |
[a1,a2,a3,a4,a6] |
Generators |
[205158:17784550:27] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
10.017888763023 |
L(r)(E,1)/r! |
Ω |
0.083770860112171 |
Real period |
R |
5.9793398024384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370bb2 1040e2 |
Quadratic twists by: -4 -7 |