Atkin-Lehner |
2- 3+ 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990v |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
15356160 = 28 · 32 · 5 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1255,-17635] |
[a1,a2,a3,a4,a6] |
j |
218613268577521/15356160 |
j-invariant |
L |
3.2084748743772 |
L(r)(E,1)/r! |
Ω |
0.80211871860574 |
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 |
119970o1 |
Quadratic twists by: -3 |