Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cq |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-11003706212352 = -1 · 233 · 3 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1567,-157281] |
[a1,a2,a3,a4,a6] |
Generators |
[471345:17485824:343] |
Generators of the group modulo torsion |
j |
1622234375/41975808 |
j-invariant |
L |
8.9926546643283 |
L(r)(E,1)/r! |
Ω |
0.34788512867509 |
Real period |
R |
6.4623735823348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984e1 20496n1 |
Quadratic twists by: -4 8 |