Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424s |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
447864270398816256 = 217 · 37 · 294 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5958792,-5600571660] |
[a1,a2,a3,a4,a6] |
Generators |
[32670:5888160:1] |
Generators of the group modulo torsion |
j |
5712661817604403594633/109341862890336 |
j-invariant |
L |
10.010006701497 |
L(r)(E,1)/r! |
Ω |
0.096629668769791 |
Real period |
R |
1.8498471737024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8178d2 |
Quadratic twists by: -4 |