Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bc |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25812474716160 = -1 · 213 · 34 · 5 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6864,106560] |
[a1,a2,a3,a4,a6] |
Generators |
[66:918:1] |
Generators of the group modulo torsion |
j |
8730363285071/6301873710 |
j-invariant |
L |
5.2507456568841 |
L(r)(E,1)/r! |
Ω |
0.4258316816861 |
Real period |
R |
3.0826415009355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570x4 |
Quadratic twists by: -4 |