Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240l |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-92667561930720000 = -1 · 28 · 33 · 54 · 78 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41180,-14274832] |
[a1,a2,a3,a4,a6] |
Generators |
[236:2940:1] |
Generators of the group modulo torsion |
j |
30167007229437104/361982663791875 |
j-invariant |
L |
8.0229669300936 |
L(r)(E,1)/r! |
Ω |
0.1663645878483 |
Real period |
R |
0.50234592150428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480g2 |
Quadratic twists by: -4 |