Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792b |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1616571209786544 = -1 · 24 · 34 · 119 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25733,1094920] |
[a1,a2,a3,a4,a6] |
Generators |
[1087:36225:1] |
Generators of the group modulo torsion |
j |
49948672/42849 |
j-invariant |
L |
4.997756017088 |
L(r)(E,1)/r! |
Ω |
0.30803094104067 |
Real period |
R |
4.0562126648018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66792r1 |
Quadratic twists by: -11 |