Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bi |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-53775357867 = -1 · 37 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- 4 7- 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,-12434] |
[a1,a2,a3,a4,a6] |
Generators |
[6020:33233:125] |
Generators of the group modulo torsion |
j |
-262144/627 |
j-invariant |
L |
7.8743092975676 |
L(r)(E,1)/r! |
Ω |
0.45233507564786 |
Real period |
R |
4.3520333333385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723f1 1881c1 |
Quadratic twists by: -3 -7 |