Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832n |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-194222686208 = -1 · 216 · 413 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 -1 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5249,-149665] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1312:1] |
Generators of the group modulo torsion |
j |
-244093511812/2963603 |
j-invariant |
L |
3.396399765386 |
L(r)(E,1)/r! |
Ω |
0.28023963067428 |
Real period |
R |
2.0199378044255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bk1 14104c1 |
Quadratic twists by: -4 8 |