Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598be |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-137542225301978112 = -1 · 210 · 36 · 77 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,109006,11219761] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-4903:1] |
Generators of the group modulo torsion |
j |
196494830473357863/188672462691328 |
j-invariant |
L |
11.58232062068 |
L(r)(E,1)/r! |
Ω |
0.21507515880808 |
Real period |
R |
0.38466023707563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622d1 |
Quadratic twists by: -3 |