Atkin-Lehner |
2+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38266c |
Isogeny class |
Conductor |
38266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13898880 |
Modular degree for the optimal curve |
Δ |
-3.3836524064464E+25 |
Discriminant |
Eigenvalues |
2+ 1 0 4 -5 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13545811,280522507342] |
[a1,a2,a3,a4,a6] |
Generators |
[883246:292905529:8] [201950:90639556:1] |
Generators of the group modulo torsion |
j |
-16184895276687625/1992310093163552 |
j-invariant |
L |
7.9566148244034 |
L(r)(E,1)/r! |
Ω |
0.053695945864366 |
Real period |
R |
6.1741275313576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38266h1 |
Quadratic twists by: -19 |