Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216s |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1479199453822844928 = -1 · 220 · 314 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -4 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195432,48083184] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:83106:1] |
Generators of the group modulo torsion |
j |
201534114475622375/361132679155968 |
j-invariant |
L |
2.603422451663 |
L(r)(E,1)/r! |
Ω |
0.18453563428668 |
Real period |
R |
1.1756638321406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4902e1 117648br1 |
Quadratic twists by: -4 -3 |