Atkin-Lehner |
2- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bp |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-5101380242432 = -1 · 210 · 415 · 43 |
Discriminant |
Eigenvalues |
2- 3 0 -1 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3040,-126376] |
[a1,a2,a3,a4,a6] |
j |
-3034202112000/4981816643 |
j-invariant |
L |
3.0423687609127 |
L(r)(E,1)/r! |
Ω |
0.30423695389746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832l1 28208j1 |
Quadratic twists by: -4 8 |