Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ck |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-263264256000 = -1 · 214 · 35 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1007,-21743] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1140:1] |
Generators of the group modulo torsion |
j |
55087216/128547 |
j-invariant |
L |
6.7909402437598 |
L(r)(E,1)/r! |
Ω |
0.50812912942485 |
Real period |
R |
3.3411488541248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400ja1 13800bd1 110400ev1 |
Quadratic twists by: -4 8 5 |