Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200w |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
186880000000000000 = 221 · 513 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 3 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162008,14102512] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:6250:1] |
Generators of the group modulo torsion |
j |
7347774183121/2920000000 |
j-invariant |
L |
4.3868072089848 |
L(r)(E,1)/r! |
Ω |
0.29022700058187 |
Real period |
R |
1.8893862391291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3650c1 116800ci1 5840h1 |
Quadratic twists by: -4 8 5 |