Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dw |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-10716480 = -1 · 26 · 32 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,138] |
[a1,a2,a3,a4,a6] |
j |
107850176/167445 |
j-invariant |
L |
6.2047614192743 |
L(r)(E,1)/r! |
Ω |
1.5511903551232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cv1 29280s2 |
Quadratic twists by: -4 8 |