Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322q |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
167202584955479034 = 2 · 32 · 137 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168074,-17856259] |
[a1,a2,a3,a4,a6] |
Generators |
[-1106:13843:8] |
Generators of the group modulo torsion |
j |
108784086144553/34640398026 |
j-invariant |
L |
6.7792392886279 |
L(r)(E,1)/r! |
Ω |
0.24171857580554 |
Real period |
R |
4.6743334102725 |
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 |
69966i2 1794c2 |
Quadratic twists by: -3 13 |