Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536k |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
158720 |
Modular degree for the optimal curve |
Δ |
-6268141778776064 = -1 · 212 · 1110 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 11- -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41401,5016089] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1331:1] |
Generators of the group modulo torsion |
j |
-1916049601641664/1530308051459 |
j-invariant |
L |
2.9817379753627 |
L(r)(E,1)/r! |
Ω |
0.38880658559596 |
Real period |
R |
0.38344746280349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536a1 20768f1 |
Quadratic twists by: -4 8 |