Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23460b |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4393401120000 = -1 · 28 · 35 · 54 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19636,1070440] |
[a1,a2,a3,a4,a6] |
Generators |
[18:850:1] |
Generators of the group modulo torsion |
j |
-3270882431734864/17161723125 |
j-invariant |
L |
3.8747179835219 |
L(r)(E,1)/r! |
Ω |
0.78039673746675 |
Real period |
R |
0.27583676335504 |
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 |
93840ce1 70380bk1 117300w1 |
Quadratic twists by: -4 -3 5 |