Atkin-Lehner |
3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
60435g |
Isogeny class |
Conductor |
60435 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
289440 |
Modular degree for the optimal curve |
Δ |
-173763342034875 = -1 · 36 · 53 · 176 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 5 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46407,3899812] |
[a1,a2,a3,a4,a6] |
Generators |
[557:12282:1] |
Generators of the group modulo torsion |
j |
-15161656961880064/238358493875 |
j-invariant |
L |
3.422186860929 |
L(r)(E,1)/r! |
Ω |
0.57266100095344 |
Real period |
R |
0.99598973188267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715c1 |
Quadratic twists by: -3 |