Atkin-Lehner |
2+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41536a |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
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 |
[36345:344872:125] |
Generators of the group modulo torsion |
j |
-1916049601641664/1530308051459 |
j-invariant |
L |
5.5461760013296 |
L(r)(E,1)/r! |
Ω |
0.1618132049152 |
Real period |
R |
8.5687938821715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536k1 20768d1 |
Quadratic twists by: -4 8 |