Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970d |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3481725870 = 2 · 39 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1365,-18865] |
[a1,a2,a3,a4,a6] |
j |
14295828483/176890 |
j-invariant |
L |
1.5720141674139 |
L(r)(E,1)/r! |
Ω |
0.78600708370696 |
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 |
95760ca2 11970bm2 59850dp2 83790q2 |
Quadratic twists by: -4 -3 5 -7 |