Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900q |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-637119756000000 = -1 · 28 · 36 · 56 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131400,-18373500] |
[a1,a2,a3,a4,a6] |
j |
-86044336128/218491 |
j-invariant |
L |
0.75215244414189 |
L(r)(E,1)/r! |
Ω |
0.12535875087235 |
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 |
9100d1 3276k1 |
Quadratic twists by: -3 5 |