Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39672a |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-21549505406976 = -1 · 211 · 33 · 19 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 1 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24867,-1525762] |
[a1,a2,a3,a4,a6] |
Generators |
[8391467402:101755589136:31855013] |
Generators of the group modulo torsion |
j |
-30753898644726/389711831 |
j-invariant |
L |
6.3973584091552 |
L(r)(E,1)/r! |
Ω |
0.18994861276139 |
Real period |
R |
16.839708161467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344a1 39672h1 |
Quadratic twists by: -4 -3 |