Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944o |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-636516144 = -1 · 24 · 36 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11+ 2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3798,90099] |
[a1,a2,a3,a4,a6] |
Generators |
[39:36:1] |
Generators of the group modulo torsion |
j |
-519446808576/54571 |
j-invariant |
L |
4.949238751605 |
L(r)(E,1)/r! |
Ω |
1.555295873574 |
Real period |
R |
1.5910923559844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32472t1 7216b1 |
Quadratic twists by: -4 -3 |