Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222k |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
21289766655743064 = 23 · 311 · 232 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 2 6 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70331,-1484589] |
[a1,a2,a3,a4,a6] |
j |
52775307461037673/29204069486616 |
j-invariant |
L |
3.7679194968491 |
L(r)(E,1)/r! |
Ω |
0.31399329140399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074b2 |
Quadratic twists by: -3 |