Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bo |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-182096370612204048 = -1 · 24 · 35 · 75 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,102182,16274039] |
[a1,a2,a3,a4,a6] |
j |
550433885375/849493008 |
j-invariant |
L |
2.6131367330992 |
L(r)(E,1)/r! |
Ω |
0.21776139466803 |
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 |
66066p1 |
Quadratic twists by: -11 |