Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10856b |
Isogeny class |
Conductor |
10856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-677653232 = -1 · 24 · 233 · 592 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 4 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,168,877] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:23:1] |
Generators of the group modulo torsion |
j |
32579462912/42353327 |
j-invariant |
L |
4.3071856267616 |
L(r)(E,1)/r! |
Ω |
1.085043272819 |
Real period |
R |
0.33079983495124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21712a1 86848h1 97704i1 |
Quadratic twists by: -4 8 -3 |