Atkin-Lehner |
3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469bd |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-467053706259 = -1 · 35 · 76 · 17 · 312 |
Discriminant |
Eigenvalues |
0 3- -1 7- 1 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6141,-190186] |
[a1,a2,a3,a4,a6] |
Generators |
[366:6835:1] |
Generators of the group modulo torsion |
j |
-217732612096/3969891 |
j-invariant |
L |
5.5977342260062 |
L(r)(E,1)/r! |
Ω |
0.26936066493792 |
Real period |
R |
1.0390778894547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1581a1 |
Quadratic twists by: -7 |