Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bj |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-552140583438569472 = -1 · 212 · 33 · 177 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-614998,-189301933] |
[a1,a2,a3,a4,a6] |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
2.0431983268201 |
L(r)(E,1)/r! |
Ω |
0.085133263614887 |
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 |
119646u1 2346k1 |
Quadratic twists by: -3 17 |