Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400a |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-192893400000000 = -1 · 29 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,668250] |
[a1,a2,a3,a4,a6] |
Generators |
[310:5500:1] |
Generators of the group modulo torsion |
j |
-216/1225 |
j-invariant |
L |
6.347746083952 |
L(r)(E,1)/r! |
Ω |
0.45396191314068 |
Real period |
R |
3.4957481565118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400g2 100800ip2 50400cd2 10080bk2 |
Quadratic twists by: -4 8 -3 5 |