Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cb |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-6101708091088896 = -1 · 213 · 316 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-410912,101317236] |
[a1,a2,a3,a4,a6] |
Generators |
[898:21384:1] |
Generators of the group modulo torsion |
j |
-1407450852604763/1119214746 |
j-invariant |
L |
6.5886165663004 |
L(r)(E,1)/r! |
Ω |
0.42149390766327 |
Real period |
R |
0.12212173405542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438s1 75504ce1 |
Quadratic twists by: -4 -11 |