Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297t |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
528633781137 = 35 · 76 · 11 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2059,8168] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:203:1] |
Generators of the group modulo torsion |
j |
8205738913/4493313 |
j-invariant |
L |
3.950940022073 |
L(r)(E,1)/r! |
Ω |
0.80577385976371 |
Real period |
R |
0.98065728356189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353b1 |
Quadratic twists by: -7 |