Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600h |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-10847520000000 = -1 · 211 · 37 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6408,-255312] |
[a1,a2,a3,a4,a6] |
j |
-909513218/338985 |
j-invariant |
L |
3.6670208540426 |
L(r)(E,1)/r! |
Ω |
0.26193006100304 |
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 |
37200d1 55800bq1 3720f1 |
Quadratic twists by: -4 -3 5 |