Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800z |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-416988000000 = -1 · 28 · 36 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-30912] |
[a1,a2,a3,a4,a6] |
Generators |
[64:504:1] |
Generators of the group modulo torsion |
j |
686000/104247 |
j-invariant |
L |
6.1477009378515 |
L(r)(E,1)/r! |
Ω |
0.44628401660411 |
Real period |
R |
2.2958850985787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432f1 |
Quadratic twists by: 5 |