Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ck |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9609408608256000 = -1 · 214 · 36 · 53 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -6 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52848,614304] |
[a1,a2,a3,a4,a6] |
Generators |
[873:26685:1] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
7.0551192446582 |
L(r)(E,1)/r! |
Ω |
0.24848996404216 |
Real period |
R |
4.7319947583593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240fw1 8280t1 7360d1 |
Quadratic twists by: -4 8 -3 |