Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297s |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
20268864 |
Modular degree for the optimal curve |
Δ |
-4.8373767862453E+23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-721474139,7458991911804] |
[a1,a2,a3,a4,a6] |
Generators |
[15469:-19763:1] |
Generators of the group modulo torsion |
j |
-147029885060010459316033/1712495803922739 |
j-invariant |
L |
4.2745783127999 |
L(r)(E,1)/r! |
Ω |
0.084695439406213 |
Real period |
R |
0.76469687786834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297d1 |
Quadratic twists by: -7 |