Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066o |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
188646441984 = 210 · 32 · 7 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31836,-2199600] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:58:1] |
Generators of the group modulo torsion |
j |
2681158320936467/141732864 |
j-invariant |
L |
2.616755196563 |
L(r)(E,1)/r! |
Ω |
0.35741233102692 |
Real period |
R |
1.2202317274229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bm1 |
Quadratic twists by: -11 |