Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cy |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
16131233912976 = 24 · 33 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25506,1547451] |
[a1,a2,a3,a4,a6] |
Generators |
[75:249:1] |
Generators of the group modulo torsion |
j |
114695881243227904/1008202119561 |
j-invariant |
L |
7.4771872926272 |
L(r)(E,1)/r! |
Ω |
0.69994735076009 |
Real period |
R |
3.5608331988278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564d1 |
Quadratic twists by: -4 |