Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030l |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
11651378618880 = 29 · 310 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-177104,-28701538] |
[a1,a2,a3,a4,a6] |
j |
614335054694415353209/11651378618880 |
j-invariant |
L |
2.3272511314453 |
L(r)(E,1)/r! |
Ω |
0.23272511314441 |
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 |
90090dl2 |
Quadratic twists by: -3 |