Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543p |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-3900646233887694039 = -1 · 310 · 74 · 317 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,311184,-67642853] |
[a1,a2,a3,a4,a6] |
j |
5150827583/6028911 |
j-invariant |
L |
4.265603892123 |
L(r)(E,1)/r! |
Ω |
0.13330012161095 |
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 |
20181i1 1953d1 |
Quadratic twists by: -3 -31 |