Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39840c |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
32270400 = 26 · 35 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26890,1706200] |
[a1,a2,a3,a4,a6] |
j |
33599459836909504/504225 |
j-invariant |
L |
1.478810048786 |
L(r)(E,1)/r! |
Ω |
1.4788100487976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840m1 79680u2 119520r1 |
Quadratic twists by: -4 8 -3 |