Atkin-Lehner |
2+ 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066b |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-7786433728801728 = -1 · 26 · 34 · 72 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14280,4290048] |
[a1,a2,a3,a4,a6] |
j |
-136590875/3302208 |
j-invariant |
L |
1.3955721439187 |
L(r)(E,1)/r! |
Ω |
0.34889303449571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bt1 |
Quadratic twists by: -11 |