Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cp |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
176638316557500000 = 25 · 36 · 57 · 7 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108865938,-437215100508] |
[a1,a2,a3,a4,a6] |
Generators |
[17232:-1683066:1] |
Generators of the group modulo torsion |
j |
9132291023129405735347801/11304852259680 |
j-invariant |
L |
11.427147350783 |
L(r)(E,1)/r! |
Ω |
0.046738691531469 |
Real period |
R |
2.0374174971644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810c3 |
Quadratic twists by: 5 |