Atkin-Lehner |
2+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59800a |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-41124460000000 = -1 · 28 · 57 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,322563] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1150:1] [67:598:1] |
Generators of the group modulo torsion |
j |
-1814078464/10281115 |
j-invariant |
L |
6.6331259801048 |
L(r)(E,1)/r! |
Ω |
0.55694831526013 |
Real period |
R |
0.12406009749839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600a1 11960d1 |
Quadratic twists by: -4 5 |