Atkin-Lehner |
2- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950v |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-7878094874000000 = -1 · 27 · 56 · 135 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 4 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87738,10869092] |
[a1,a2,a3,a4,a6] |
j |
-4780432459339993/504198071936 |
j-invariant |
L |
5.6716097499366 |
L(r)(E,1)/r! |
Ω |
0.40511498329901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678e1 |
Quadratic twists by: 5 |