Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650f |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1676544 |
Modular degree for the optimal curve |
Δ |
-88376683056332800 = -1 · 237 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 3 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-184861,-33786312] |
[a1,a2,a3,a4,a6] |
Generators |
[21436:3127116:1] |
Generators of the group modulo torsion |
j |
-27945779006451833905/3535067322253312 |
j-invariant |
L |
1.9588651337314 |
L(r)(E,1)/r! |
Ω |
0.11431372687191 |
Real period |
R |
8.5679348920979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650bi1 |
Quadratic twists by: 5 |