Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984cq |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-153477144576 = -1 · 213 · 33 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6680,-213228] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1938:1] |
Generators of the group modulo torsion |
j |
-3352478521/15606 |
j-invariant |
L |
8.0756863526332 |
L(r)(E,1)/r! |
Ω |
0.26396666252967 |
Real period |
R |
2.5494653615353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998a1 119952dy1 39984cc1 |
Quadratic twists by: -4 -3 -7 |