Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dk |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
382212258398208 = 218 · 36 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200328,34431732] |
[a1,a2,a3,a4,a6] |
Generators |
[156:2646:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
6.9589670998166 |
L(r)(E,1)/r! |
Ω |
0.52651679179553 |
Real period |
R |
1.1014158219093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998g1 119952ej1 816e1 |
Quadratic twists by: -4 -3 -7 |