Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23460j |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-79764000000 = -1 · 28 · 3 · 56 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340,-13688] |
[a1,a2,a3,a4,a6] |
Generators |
[54:350:1] |
Generators of the group modulo torsion |
j |
-17029316176/311578125 |
j-invariant |
L |
4.9819376496526 |
L(r)(E,1)/r! |
Ω |
0.46667327208113 |
Real period |
R |
1.1861588414323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840cm2 70380s2 117300s2 |
Quadratic twists by: -4 -3 5 |