Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ct |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
6134366342788153344 = 236 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5239880,4613399412] |
[a1,a2,a3,a4,a6] |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
3.2836593059839 |
L(r)(E,1)/r! |
Ω |
0.23454709328336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998b1 119952dl1 39984bk1 |
Quadratic twists by: -4 -3 -7 |