Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69819d |
Isogeny class |
Conductor |
69819 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16197120 |
Modular degree for the optimal curve |
Δ |
-1.2106822111162E+24 |
Discriminant |
Eigenvalues |
1 3- 3 -5 -5 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3863347,53018992103] |
[a1,a2,a3,a4,a6] |
Generators |
[2959:258323:1] |
Generators of the group modulo torsion |
j |
-49068093781/9315681777 |
j-invariant |
L |
8.0612652088611 |
L(r)(E,1)/r! |
Ω |
0.07057360305001 |
Real period |
R |
7.1390584253949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69819f1 |
Quadratic twists by: 37 |