Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568b |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-421694208 = -1 · 28 · 33 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231,-1674] |
[a1,a2,a3,a4,a6] |
j |
-197222256/61009 |
j-invariant |
L |
2.4110013995048 |
L(r)(E,1)/r! |
Ω |
0.60275034987601 |
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 |
17784i2 35568a2 |
Quadratic twists by: -4 -3 |